GLA

Faculty

Prof. Manish Goyal

Professor And Head - Institute of Applied Sciences & Humanities

Department

Department of Mathematics

Experience

26 Years 9 Months

Prof. Manish Goyal

Ph.D Thesis Supervised

1

Awarded/
Completed

1

Working

Qualifications

  • Ph.D.

Publication

−
  • Goyal, M.; Saraswat, A. K.; Prakash, A. "Numerical Analysis of Fractional Coronavirus Model with Atangana-Baleanu Derivative in Liouville-Caputo Sense." Indian Journal of Physics (SCI), 2023, 97(1), 147–164. Springer. ISSN: 0973-1458. DOI: 10.1007/s12648-022-02409-w.
  • Saraswat, A. K.; Goyal, M. "Numerical Simulation of Time-Dependent Influenza Model with Atangana-Baleanu Non-Integer Order Derivative in Liouville-Caputo Sense." Pramana – Journal of Physics (SCI), 2022, 96(2), 104. Springer. ISSN: 0304-4289. DOI: 10.1007/s12043-022-02335-w.
  • Goyal, M.; Prakash, A.; Baleanu, D. "An Efficient Hybrid Computational Technique for the Time-Dependent Lane-Emden Equation of Arbitrary Order." Journal of Ocean Engineering and Science (SCI), 2022, 7(2), 131–142. ISSN: 2468-0133. DOI: 10.1016/j.joes.2021.07.004.
  • Bhardwaj, V. K.; Goyal, M. "A Reliable Solution of Nonlinear Time-Dependent Fractional Model of Ebola Virus Disease with Arbitrary Order Derivative in Liouville-Caputo Sense." International Journal of Applied and Computational Mathematics (Scopus), 2021, 7(6), 257. E-ISSN: 2199-5796. DOI: 10.1007/s40819-021-01200-5.
  • Gupta, S.; Goyal, M.; Prakash, A. "A Hybrid Computational Scheme with Convergence Analysis for the Time-Dependent Rosenau-Hyman Equation of Arbitrary Order via Caputo-Fabrizio Operator." International Journal of Applied and Computational Mathematics (Scopus), 2021, 7(6), 259. E-ISSN: 2199-5796. DOI: 10.1007/s40819-021-01182-4.
  • Goyal, M.; Prakash, A.; Gupta, S. "An Efficient Perturbation Sumudu Transform Technique for the Time-Fractional Vibration Equation with a Memory-Dependent Fractional Derivative in Liouville-Caputo Sense." International Journal of Applied and Computational Mathematics (Scopus), 2021, 7(4), 156. E-ISSN: 2199-5796. DOI: 10.1007/s40819-021-01068-5.
  • Goyal, M.; Baskonus, H. M. "A Reliable Solution of Arbitrary Order Nonlinear Hunter-Saxton Equation with Time-Dependent Derivative in Liouville-Caputo Sense." International Journal of Applied and Computational Mathematics (Scopus), 2021, 7(4), 125. E-ISSN: 2199-5796. DOI: 10.1007/s40819-021-01065-8.
  • Goyal, M.; Bhardwaj, V. K.; Prakash, A. "Investigating New Positive, Bounded and Convergent Numerical Solution for the Nonlinear Time-Dependent Breast Cancer Dynamic Competition Model." Mathematical Methods in the Applied Sciences (SCI), 2021, 44(6), 4636–4653. John Wiley & Sons Ltd. ISSN: 1099-1476. DOI: 10.1002/mma.7057.
  • Goyal, M.; Baskonus, H. M.; Prakash, A. "Regarding New Positive, Bounded and Convergent Numerical Solution of Nonlinear Time-Fractional HIV/AIDS Transmission Model." Chaos, Solitons & Fractals (SCI), 2020, 139, 110096. Special Issue: "Recent Advances in Computational Biology." ISSN: 0960-0779. DOI: 10.1016/j.chaos.2020.110096.
  • Gupta, S.; Goyal, M.; Prakash, A. "Numerical Treatment of Newell-Whitehead-Segel Equation." TWMS Journal of Applied and Engineering Mathematics (Scopus), 2020, 10(2), 312–320. ISSN: 2146-1147.
  • Prakash, A.; Goyal, M.; Baskonus, H. M.; Gupta, S. "A Reliable Hybrid Numerical Method for a Time-Dependent Vibration Model of Arbitrary Order." AIMS Mathematics (SCIE), 2020, 5(2), 979–1000. Special Issue: "Recent Advances in Fractional Calculus with Real World Applications." AIMS Press. ISSN: 2473-6988. DOI: 10.3934/math.2020068.
  • Goyal, M.; Baskonus, H. M.; Prakash, A. "An Efficient Technique for a Time-Fractional Model of Lassa Hemorrhagic Fever Spreading in Pregnant Women." European Physical Journal Plus (SCI), 2019, 134(10), 482. Springer. ISSN: 2190-5444. DOI: 10.1140/epjp/i2019-12854-0.
  • Prakash, A.; Veeresha, P.; Prakasha, D. G.; Goyal, M. "A Homotopy Technique for a Fractional Order Multi-Dimensional Telegraph Equation via the Laplace Transform." European Physical Journal Plus (SCI), 2019, 134(1), 19. Springer. ISSN: 2190-5444. DOI: 10.1140/epjp/i2019-12411-y.
  • Prakash, A.; Goyal, M.; Gupta, S. "A Reliable Algorithm for Fractional Bloch Model Arising in Magnetic Resonance Imaging." Pramana (SCIE), 2019, 92(2), 18. Springer. ISSN: 0304-4289. DOI: 10.1007/s12043-018-1683-1.
  • Goyal, M.; Tiwari, R. K.; Pradhan, A. "Decelerating to Accelerating FRW Universe with Variable G and Λ in Conharmonically Flat Space." New Astronomy (SCI), 2019, 66, 79–87. Elsevier. ISSN: 1384-1076. DOI: 10.1016/j.newast.2018.08.003.
  • Prakash, A.; Goyal, M.; Gupta, S. "Fractional Variation Iteration Method for Solving Time-Fractional Newell–Whitehead-Segel Equation." Nonlinear Engineering (Scopus), 2019, 8(1), 164–171. ISSN: 2192-8029. DOI: 10.1515/nleng-2018-0001.
  • Goyal, M.; Prakash, A.; Gupta, S. "Numerical Simulation for Time-Fractional Nonlinear Coupled Dynamical Model of Romantic and Interpersonal Relationships." Pramana (SCIE), 2019, 92(5), 82. Springer. ISSN: 0304-4289. DOI: 10.1007/s12043-019-1746-y.
  • Prakash, A.; Veeresha, P.; Prakasha, D. G.; Goyal, M. "A New Efficient Technique for Solving Fractional Coupled Navier-Stokes Equations Using q-Homotopy Analysis Transform Method." Pramana (SCIE), 2019, 93(1), 6. Springer. ISSN: 0304-4289. DOI: 10.1007/s12043-019-1763-x.
  • Prakash, A.; Goyal, M.; Gupta, S. "q-Homotopy Analysis Method for Fractional Bloch Model Arising in Nuclear Magnetic Resonance via the Laplace Transform." Indian Journal of Physics (SCIE), 2020, 94(4), 507–520. Springer. ISSN: 0973-1458. DOI: 10.1007/s12648-019-01487-7.
  • Prakash, A.; Goyal, M.; Gupta, S. "Numerical Simulation of Space-Fractional Helmholtz Equation Arising in Seismic Wave Propagation, Imaging and Inversion." Pramana (SCIE), 2019, 93(2), 28. Springer. ISSN: 0304-4289. DOI: 10.1007/s12043-019-1773-8.
  • Goyal, M.; Gupta, G. D. "Solution of Special Three-Dimensional Inhomogeneous Differential Equations Using Adomian Decomposition Method." Acta Ciencia Indica, 2007, Vol. XXXIII M, No. 4, 1569–1574.
  • Goyal, M.; Gupta, G. D. "Solution of Various One-Dimensional Wave Equations Using Adomian Decomposition Method." Acta Ciencia Indica, 2008, Vol. XXXIV M, No. 1, 383–388.
  • Goyal, M.; Gupta, G. D.; Hari Kishan. "Solution of Wave Equations of Two and Three Dimensions by Adomian Decomposition Method." Acta Ciencia Indica, 2008, Vol. XXXIV M, No. 1, 415–420.
  • Goyal, M. "Solution of Fluid Dynamics Problems by Adomian Decomposition Method." Acta Ciencia Indica, 2008, Vol. XXXIV M, No. 3, 1417–1424.
  • Goyal, M. "A New Approach of Solving Tenth Order Boundary Value Problems." Acta Ciencia Indica, 2008, Vol. XXXIV M, No. 4, 1941–1945.
  • Goyal, M. "Solution of Two-Dimensional Heat Flow Equation by Adomian Decomposition Method." Acta Ciencia Indica, 2009, Vol. XXXV M, No. 1, 1–4.
  • Goyal, M. "Numerical Solution of Tenth Order BVP Using Modified Decomposition Method." Acta Ciencia Indica, 2009, Vol. XXXV M, No. 1, 33–37.
  • Goyal, M.; Sharma, U. "Solution of Linear and Non-Linear Higher Order BVPs Using MDM." Acta Ciencia Indica, 2010, Vol. XXXVI M, No. 4, 691–698.
  • Goyal, M.; Gupta, S. "On Some Systems of Partial Differential Equations." Acta Ciencia Indica, 2017, Vol. XLIII M, No. 2, 103–107.
  • Goyal, M.; Gupta, S. "Variational Iteration Method for Solving Advection–Dispersion Equations." Acta Ciencia Indica, 2017, Vol. XLIII M, No. 3, 215–219.

Research Papers Published in Book Chapters

  • Goyal, M.; Prakash, A.; Gupta, S. "Numerical Analysis of Coupled Time-Fractional Differential Equations Arising in Epidemiological Models." In Mathematical Modeling and Soft Computing in Epidemiology. CRC Press, Taylor & Francis Group, USA, published December 29, 2020. ISBN: 978-1-003-03839-9, pp. 173–198. (Scopus Indexed Book Chapter)
  • Prakash, A.; Kaur, H.; Rahul; Goyal, M. "A Reliable Numerical Approach for Liouville-Caputo Time-Fractional Belousov-Zhabotinsky Equation Arising in Chemical Oscillatory Reaction." In: S. Suhag, C. Mahanta, S. Mishra (eds.), Control and Measurement Applications for Smart Grid, Book Subtitle: Select Proceedings of SGESC 2021. Lecture Notes in Electrical Engineering, Vol. 822. Springer, Singapore, pp. 383–395. (Scopus Indexed Book Chapter) DOI: 10.1007/978-981-16-7664-2_31.

Conferences / Seminar / Workshop

+

Conferences Attended

  • Participated in TIME–2007, a National Conference on "Technology and Innovation in Mathematics Education", held at IIT Mumbai from December 1–4, 2007.
  • Attended a National Conference on "Advancement of Technologies: Trends in Networking & Communication" at G.L.A.I.T.M., Mathura, from February 23–24, 2008.
  • Attended a National Conference on "Advancement of Technologies: Global Scenario (ADTECH–GLOS)" at G.L.A.I.T.M., Mathura, from February 25–26, 2007.
  • Attended a National Conference on "Advancement of Technologies: Soft Computing" at G.L.A.I.T.M., Mathura, from January 24–25, 2009.
  • Attended a National Conference on "Knowledge Management" at G.L.A.I.B.M., Mathura, from February 14–15, 2009.
  • Attended a National Conference on "Information Technology and Energy Management" at G.L.A.I.T.M., Mathura, from February 20–21, 2010.
  • Attended a National Conference on "Eco-Friendly Manufacturing for Sustainable Development" at G.L.A.I.T.M., Mathura, from November 19–21, 2010.
  • Attended a National Conference on "Leading Change – The Revolving Dynamics" at G.L.A.I.B.M., Mathura, from February 19–21, 2011.
  • Attended a Conference on "Mathematical Sciences for Development of Science and Technology" at GLA University, Mathura, from February 26–27, 2017.

Webinars Attended

  • Attended a webinar on "You Can Become a Good Researcher – Fractional Calculus and Applications", organized by Sri Eshwar College of Engineering, Coimbatore, on June 26, 2020.
  • Attended a webinar on "Basic Author Workshop: Research Article Writing & Reference Management Using Mendeley", organized by the Faculty of Science, Annamalai University, in collaboration with Elsevier, on June 22, 2020.
  • Attended a webinar on "Principles of Research Writing and Scholarly Communications", organized by Author Café in collaboration with the Dean R&D, GLA University, Mathura, on July 29, 2020.

Workshops Attended

  • Attended a workshop on "Elliptic and Parabolic Partial Differential Equations and Related Topics: Theory and Numerical Methods" at IIT Gandhinagar from August 16–19, 2012.
  • Attended a National Workshop on "Predictive Mathematical Models in Science and Engineering (PMMSE 2013)" at NIT Kurukshetra from May 24–25, 2013.
  • Participated and presented a lecture on "Quality Teaching and Outcome" in an Annual Workshop at G.L.A.I.B.M., Mathura, from August 17–18, 2007.
  • Attended a National Workshop on "Reference Management Tool Using Mendeley and How to Avoid Plagiarism" at GLA University, Mathura, on October 3, 2015.
  • Attended a workshop on "Linear Algebra and Multivariate Calculus for Science and Engineering Teachers" at VNIT Nagpur from January 1–5, 2019.
  • Attended the Online Teachers’ Enrichment Workshop on "Partial Differential Equations", hosted by NIT Arunachal Pradesh from February 17 to March 13, 2022, under the ATM School, organized by the National Centre of Mathematics (a joint venture of TIFR and IIT Bombay).

Subjects Taught

+
  • Engineering Mathematics
  • Numerical Analysis
  • Complex Analysis
  • Mathematical Methods
  • Differential Calculus
  • Integral Calculus
  • Vector Calculus
  • Matrices
  • Ordinary and Partial Differential Equations
  • Business Statistics
  • Statistical Methods
  • Integral Transforms
  • Calculus of Variations

Research Interest

+

Fractional Calculus, Fractional Differential Equations

Others

+

Publications (Books)

Author of 73 Books on Mathematics

Laxmi Publications (P) Ltd., New Delhi
  • A Text Book of Engineering Mathematics [KAS 103] – I–XI Editions (For B.Tech. I Semester, A.K.T.U., Lucknow).
  • A Text Book of Engineering Mathematics [Volume I] – X Edition (According to the Model Curriculum developed by AICTE).
  • A Text Book of Engineering Mathematics [KAS-203] – I–XII Editions (For B.Tech. II Semester, A.K.T.U., Lucknow).
  • A Text Book of Engineering Mathematics [Volume II] – X Edition (According to the Model Curriculum developed by AICTE).
  • A Text Book of Engineering Mathematics [MA-301, TAS 301, EAS 301/401] – I–VI Editions (For B.Tech. III/IV Semesters, U.P.T.U., Lucknow).
  • A Text Book of Engineering Mathematics [NAS-301/401 & RAS-301/401] – VII–IX Editions (For B.Tech. III/IV Semesters, U.P.T.U., Lucknow).
  • A Text Book of Engineering Mathematics [AS 301A & B / AS 401A & B] – VII Edition (For B.Tech. III/IV Semester, M.T.U., Noida).
  • Computer-Based Numerical & Statistical Techniques [TAS-302] – I–V Editions (For B.Tech. II Year, U.P.T.U., Lucknow).
  • A Text Book of Engineering Mathematics [KAS 401] – X Edition (For B.Tech. IV Semester, A.K.T.U., Lucknow).
  • A Text Book of Engineering Mathematics [KAS 402] – X Edition (For B.Tech. IV Semester, A.K.T.U., Lucknow).
  • Comprehensive Analysis – I–III Editions (For B.A./B.Sc. Part III, Paper I, M.D.U., Rohtak; K.U., Kurukshetra; Himachal University, Himachal Pradesh).
  • Comprehensive Analysis – IV Edition (For B.A./B.Sc. Part III, Paper I, M.D.U., Rohtak).
  • Comprehensive Analysis – IV Edition (For B.A./B.Sc. Part III, Paper I, K.U., Kurukshetra).
  • Guide to Analysis – I–III Editions (For B.A./B.Sc. Part III, Paper I, M.D.U., Rohtak; K.U., Kurukshetra; Himachal University, Himachal Pradesh).
  • A Text Book of Engineering Mathematics – I–III Editions (For B.Tech. I Semester, R.G.P.V., Bhopal).
  • A Text Book of Engineering Mathematics – I–III Editions (For B.Tech. II Semester, R.G.P.V., Bhopal).
  • A Text Book of Engineering Mathematics – I–IV Editions (For B.Tech. III Semester, R.G.P.V., Bhopal).
  • A Text Book of Engineering Mathematics – I–V Editions (For B.Tech. I Semester, Anna University, Chennai).
  • Matrices and Calculus – VI Edition (For B.E./B.Tech. I Semester, Anna University, Chennai).
  • Engineering Mathematics-I (A Supplement of Q & A) – I Edition (For B.Tech. I Semester, Anna University, Chennai).
  • A Text Book of Engineering Mathematics – I–VII Editions (For B.Tech. II Semester, Anna University, Chennai).
  • Engineering Mathematics-II (A Supplement of Q & A) – I Edition (For B.Tech. II Semester, Anna University, Chennai).
  • A Text Book of Engineering Mathematics – I and II Editions (For B.Tech. I Year, Anna University, Chennai).
  • A Text Book of Engineering Mathematics (For B.Tech. III Semester, Anna University, Chennai).
  • Transforms and Partial Differential Equations (For B.Tech. III Semester, Anna University, Chennai).
  • Statistics and Numerical Methods (For B.Tech. IV Semester, Anna University, Chennai).
  • A Text Book of Engineering Mathematics – I–III Editions (For B.Tech. III Semester, Punjab Technical University, Jalandhar).
  • A Text Book of Engineering Mathematics – IV Edition (For B.Tech. III/IV Semesters, Punjab Technical University, Jalandhar).
  • A Text Book of Engineering Mathematics – V–VI Editions (For B.Tech. III/IV/V Semesters, Punjab Technical University, Jalandhar).
  • Computer-Based Numerical & Statistical Techniques in Engineering – I Edition (For B.Tech. IV/V Semesters, Punjab Technical University, Jalandhar).
  • Computer-Based Numerical & Statistical Techniques in Engineering – II Edition (For B.Tech. IV/V/VI Semesters, Punjab Technical University, Jalandhar).
  • A Text Book of Engineering Mathematics – VII–IX Editions (For B.E./B.Tech./M.E. students of all Technical Universities).
  • Solution Manual for A Text Book of Engineering Mathematics – I Edition (For B.E./B.Tech./M.E. students of all Technical Universities).
  • Comprehensive Mathematics for N.D.A.
  • Topics in Mathematics – Books covering Semester I–V (For B.A./B.Sc. Course, Bangalore University, Karnataka).
  • Examination Papers in Engineering Mathematics including Model Question Papers (For U.P.T.U. – Semester I).
  • Examination Papers in Engineering Mathematics including Model Question Papers (For U.P.T.U. – Semester III).
  • Examination Papers in Computer-Based Numerical and Statistical Techniques including Model Question Papers (For U.P.T.U. – Semester III).
  • Computer-Oriented Numerical and Statistical Methods Using C (For Distance Learning Programme of M.C.A., Ch. Devi Lal University, Hisar).
  • Applied Mathematics-III (For Amity University – Semester III).
  • Applied Mathematics-I (For Amity University – Semester I).
  • Applied Mathematics-II (For Amity University – Semester II).
  • Numerical Methods and Statistical Techniques Using C – I Edition (For all Universities of India and abroad).
  • A Text Book of Engineering Mathematics – I Edition (For B.Tech. I Semester, Uttarakhand Technical University, Dehradun).
  • A Text Book of Engineering Mathematics – I Edition (For B.Tech. II Semester, Uttarakhand Technical University, Dehradun).
  • A Text Book of Engineering Mathematics – I Edition (For B.Tech. III Semester, Uttarakhand Technical University, Dehradun).
Infinity Science Press, U.S.A.
  • Computer-Based Numerical and Statistical Techniques – I Edition.
Himani Publications, Meerut
  • A Text Book of Engineering Mathematics – I Edition (For students of all Universities).
Sahitya Bhawan Publications, Agra
  • Self Tutor Series – Books for B.Tech. I and III Semesters, U.P.T.U., Lucknow.
Benison Publications, Mathura
  • Objective Maths (For U.P. Lecturer Entrance Examination).
Prabhat Publications, Mathura
  • Text Books for Classes I–V.
Prabhat Publications, Mathura
  • Guides for Classes VI–VIII, X and XII (Part II) (For C.B.S.E., New Delhi).
Rahul Publications, New Delhi
  • Rajiv C.B.S.E. Sample Question Papers for Classes IX, X and XII.
  • Rajiv C.B.S.E. Super Special Guess Papers for Class X.
  • Rajiv Mathematics Without Fear for Classes IX and X.
  • Remember Me – A Text Book of Mathematics in Hindi for Class X.
  • C.B.S.E. Question Bank cum Assignment & Solution for Class XII.
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