Books
[Laxmi Publications (P) Ltd., New Delhi]
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01 A Text Book of Engineering Mathematics (For B.Tech. I Sem., A. K.T.U., Lucknow)
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02 A Text Book of Engineering Mathematics (For B.Tech. II Sem., A. K.T.U., Lucknow)
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03 A Text Book of Engineering Mathematics (For B.Tech. III Sem., A.K.T.U., Lucknow)
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04 A Text Book of Engineering Mathematics (For B.Tech. IV Sem., A.K.T.U., Lucknow)
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05 Computer Based Numerical & Statistical Techniques
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06 Comprehensive Analysis (For M. D. U. Rohtak, K. U. Kurukshetra, Himachal University)
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07 Guide to Analysis (For M. D. U. Rohtak, K. U. Kurukshetra, Himachal University)
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08 A Text Book of Engineering Mathematics (For B.Tech. I Sem., R. G. P. V., Bhopal)
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09 A Text Book of Engineering Mathematics (For B.Tech. II Sem., R. G. P. V., Bhopal)
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10 A Text Book of Engineering Mathematics (For B.Tech. III Sem., R. G. P. V., Bhopal)
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11 A Text Book of Engineering Mathematics (For B.Tech. I Sem., Anna University, Chennai)
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12 Engineering Mathematics - I (A Supplement of Q & A) (For Anna University, Chennai)
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13 A Text Book of Engineering Mathematics (For B.Tech. II Sem. Anna University, Chennai)
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14 Engineering Mathematics - II (A Supplement of Q & A) (For Anna University, Chennai)
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15 A Text Book of Engineering Mathematics (For B.Tech. III Sem., Anna Univ., Chennai)
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16 Transforms and Partial Differential Equations (For B.Tech. III Sem. Anna Univ. Chennai)
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17 Statistics and Numerical Methods (For B.Tech. IV Sem., Anna University, Chennai)
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18 A Text Book of Engineering Mathematics (For B.Tech. III Sem., P. T. U., Jalandhar)
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19 A Text Book of Engineering Mathematics (For B.Tech. III/IV Sem., P. T. U., Jalandhar)
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20 A Text Book of Engineering Mathematics (For B.Tech. III/IV/V Sem., P. T. U., Jalandhar)
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21 Computer Based Numerical & Statistical Techniques in Engineering (For B.Tech. IV/V Sem., P. T. U., Jalandhar)
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22 Computer Based Numerical & Statistical Techniques in Engineering (For B.Tech. IV/V/VI Sem., P. T. U., Jalandhar)
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23 A Text Book of Engineering Mathematics (For B.E. / B.Tech./ M.E. students of all Technical Universities)
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24 Solution Manual for A Text Book of Engineering Mathematics (For B.E. / B.Tech./M.E. students of all Technical Universities)
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25 Comprehensive Mathematics for N.D.A.
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26 Topics in Mathematics (For B.A./ B. Sc. – Sem. I, Bangalore University, Karnataka)
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27 Topics in Mathematics (For B.A./ B. Sc. – Sem. II, Bangalore University, Karnataka)
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28 Topics in Mathematics (For B.A./ B. Sc. – Sem. III, Bangalore University, Karnataka)
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29 Topics in Mathematics (For B.A./ B. Sc. – Sem. IV, Bangalore University, Karnataka)
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30 Topics in Mathematics (For B.A./ B. Sc. – Sem. V, Bangalore University, Karnataka)
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31 Examination Papers in Engineering Mathematics- I (For U.P.T.U. – Semester I)
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32 Examination Papers in Engineering Mathematics- III (For U.P.T.U. – Semester III)
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33 Examination Papers in Computer Based Numerical and Statistical Techniques (For U.P.T.U. – Semester III)
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34 Computer Oriented Numerical and Statistical Methods using C (For Ch. Devilal Univ., Hisar)
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35 Applied Mathematics – I (For Amity University – Semester I)
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36 Applied Mathematics – II (For Amity University – Semester II)
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37 Applied Mathematics – III (For Amity University – Semester III)
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38 Numerical Methods and Statistical Techniques using C
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39 A Text Book of Engineering Mathematics (For B.Tech. I Sem., U. K. T. U., Dehradun)
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40 A Text Book of Engineering Mathematics (For B.Tech. II Sem., U. K. T. U., Dehradun)
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41 A Text Book of Engineering Mathematics (For B.Tech. III Sem., U. K. T. U., Dehradun)
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42 A Text Book of Engineering Mathematics (Volume – I)
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43 A Text Book of Engineering Mathematics (Volume – II)
[Infinity Science Press, USA]
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44 Computer Based Numerical and Statistical Techniques
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45 A Text Book of Engineering Mathematics (For students of all Universities)
[Himani Publications, Meerut]
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46 Self Tutor Series (For B.Tech. I Sem., U. P. T. U., Lucknow)
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47 Self Tutor Series (For B.Tech. III Sem., U. P. T. U., Lucknow)
Published Papers in Journals
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01 “Numerical simulation of time-dependent influenza model with Atangana-Baleanu non-integer order derivative in Liouville-Caputo sense” by Amit Kumar Saraswat and Manish Goyal* in Pramana-J. Phys. (SCI) 96 (2): 104 (2022) IF 2.699, Springer, ISSN No. 0304-4289. Doi: https://doi.org/10.1007/s12043-022-02335-w.
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02 “An efficient hybrid computational technique for the time dependent Lane-Emden equation of arbitrary order” by Manish Goyal, A. Prakash* and D. Baleanu in Journal of Ocean Engineering and Science (SCI), 7 (2): 131-142 (2022). IF 4.803, ISSN No: 2468-0133 Doi: https://doi.org/10.1016/j.joes.2021.07.004.
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03 “A reliable solution of nonlinear time dependent fractional model of Ebola virus disease with arbitrary order derivative in Liouville-Caputo sense” by Vinod Kumar Bhardwaj and Manish Goyal* in Int. J. Appl. Comput. Math. (Scopus), 7 (6): 257 (2021). ISSN No.: 2199-5796. Doi: http://doi.org/10.1007/s40819-021-01200-5.
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04 “A hybrid computational scheme with convergence analysis for the dependent Rosenau-Hyman equation of arbitrary order via Caputo-Fabrizio operator”, by S. Gupta, Manish Goyal*and A. Prakash in Int. J. Appl. Comput. Math. (Scopus), 7 (6): 259 (2021). ISSN No.: 2199-5796. Doi: http://doi.org/10.1007/s40819-021-01182-4.
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05 “An efficient perturbation Sumudu transform technique for the time-fractional vibration equation with a memory dependent fractional derivative in Liouville-Caputo sense”, by Manish Goyal*, A. Prakash and S. Gupta in Int. J. Appl. Comput. Math (Scopus), 7 (4): 156 (2021), ISSN No.: 2199-5796. Doi: http://doi.org/10.1007/s40819-021-01068-5.
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06 “A reliable solution of arbitrary order nonlinear Hunter-Saxton Equation with time dependent derivative in Liouville-Caputo sense” by Manish Goyal* and H. M. Baskonus in Int. J. Appl. Comput. Math (Scopus) 7 (4): 125 (2021), ISSN No.: 2199-5796. Doi: http://doi.org/10.1007/S40819-021-01065-8.
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07 “Investigating new positive, bounded and convergent numerical solution for the nonlinear time-dependent breast cancer dynamic competition model” by Manish Goyal*, V. K. Bhardwaj and A. Prakash in Math. Meth. Appl. Sci. 44 (6), 4636-4653 (2021) ISSN No.: 1099-1476, (SCI) IF 3.007, John Wiley & Sons Ltd. Doi: 10.1002/mma.7057
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08 “Regarding new positive, bounded and convergent numerical solution of nonlinear time fractional HIV/AIDS transmission model” in Chaos Soliton. Fract., by Manish Goyal*, H. M. Baskonus and A. Prakash, Chaos Soliton. Fract. 139 (2020) 110096, (SCI) IF 9.922, ISSN No. 0960-0779. Doi: https://doi.org/10.1016/j.chaos.2020.110096
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09 “Numerical Treatment of Newell-Whitehead-Segel Equation”, by S. Gupta, Manish Goyal and A. Prakash*, TWMS J. App. Eng. Math. (2020) Volume 10 (2): pp. 312-320, Scopus and ESCI (WoS), ISSN No. 2146-1147.
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10 “A reliable hybrid numerical method for a time dependent vibration model of arbitrary order” by Amit Prakash*, Manish Goyal, H.M. Baskonus and S. Gupta, in AIMS Mathematics (2020) 5 (2): 979-1000 (SCIE) IF 2.739, AIMS Press, Doi: 10.3934/math.2020068, ISSN No. 2473-6988.
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11 “An efficient technique for a time fractional model of lassa hemorrhagic fever spreading in pregnant women” by Manish Goyal*, H.M. Baskonus and A. Prakash, Eur. Phys. J. Plus (2019) 134(10): 482, (SCI) I.F. 3.758, Springer, ISSN No. 2190-5444, Doi: https://doi.org/10.1140/epjp/i2019-12854-0.
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12 “A homotopy technique for a fractional order multi-dimensional telegraph equation via the Laplace Transform”, by A. Prakash*, P. Veeresha, D. G. Prakasha and Manish Goyal, Eur. Phys. J. Plus (2019) 134 (1): 19. Doi: https://doi.org/ 10.1140/epjp/i2019-12411-y. (SCI) IF 3.758, Springer, ISSN No. 2190-5444.
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13 “A reliable algorithm for fractional Bloch model arising in magnetic resonance imaging”, by A. Prakash*, Manish Goyal and S. Gupta, Pramana-J. Phys. (2019) 92 (2):18 (SCIE) IF 2.699, Springer, ISSN No. 0304-4289 Doi: https://doi.org/10.1007/s12043-018-1683-1
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14 “Decelerating to Accelerating FRW Universe with variable G and Λ in conharmonically flat space” by Manish Goyal, R. K. Tiwari and A. Pradhan*, New Astronomy, 66 (2019) 79-87, IF 2.096, Elsevier, ISSN No. 13841076. (SCI). Doi: https://doi.org/10.1016/j.newast.2018.08.003.
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15 “Fractional Variation Iteration Method for solving time-fractional Newell– Whitehead- Segel Equation”, by A. Prakash*, Manish Goyal and S. Gupta, Nonlinear Engineering, 2019; 8 (1):164-171 (Scopus) ISSN no. 2192–8029, Doi: https://doi.org/10.1515/nleng-2018-0001.
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16 “Numerical simulation for time-fractional nonlinear coupled dynamical model of romantic and interpersonal relationships”, by Manish Goyal, A. Prakash*, S. Gupta, Pramana. (2019) 92(5):82. (SCIE) IF 2.699, Springer, ISSN No. 0304-4289 Doi: https://doi.org/10.1007/s12043-019-1746-y.
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17 “A new efficient technique for solving fractional coupled Navier-Stokes equations using q-homotopy analysis transform method”, by A. Prakash*, P. Veeresha, D. G. Prakasha and Manish Goyal, Pramana-J. Phys. (2019) 93 (1): 6 (SCIE) IF 2.699, Springer, ISSN No. 0304-4289. Doi: https://doi.org/10.1007/s12043-019-1763-x
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18 “q-homotopy analysis method for fractional Bloch model arising in nuclear magnetic resonance via the Laplace transform”, by A. Prakash*, Manish Goyal and S. Gupta, Indian J. Phys. (2020) 94 (4): 507-520, (SCIE) IF 1.778, Springer, ISSN No. 0973-1458. Doi: http://doi.org/10.1007/s12648-019-01487-7.
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19 “Numerical simulation of space-fractional Helmholtz equation arising in Seismic wave propagation, imaging and inversion”, by A. Prakash*, Manish Goyal and S. Gupta, Pramana-J. Phys. (2019) 93(2):28. (SCIE) IF 2.699, Springer, ISSN No. 0304-4289. Doi: https://doi.org/10.1007/s12043-019-1773-8
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20 “Solution of special three-dimensional inhomogeneous differential equations using Adomian Decomposition Method”, by Manish Goyal and G. D. Gupta, Acta Ciencia Indica, Vol. XXXIII M, No.4, 1569 – 1574 (2007).
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21 “Solution of various one dimensional wave equations using Adomian Decomposition Method”, by Manish Goyal and G. D. Gupta, Acta Ciencia Indica, Vol. XXXIVM No. 1, 383-388 (2008).
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22 “Solution of wave equations of two and three dimensions by Adomian Decomposition Method”, by Manish Goyal, G. D. Gupta and Hari Kishan, Acta Ciencia Indica, Vol. XXXIVM No. 1, 415-420 (2008).
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23 “Solution of fluid dynamics problems by Adomian Decomposition Method” by Manish Goyal, Acta Ciencia Indica, Vol. XXXIVM No. 3, 1417–1424 (2008).
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24 “A New Approach of Solving Tenth Order Boundary Value Problems”, by Manish Goyal, Acta Ciencia Indica, Vol. XXXIVM No. 4, 1941 – 1945 (2008)
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25 “Solution of Two dimensional Heat Flow equation by Adomian decomposition method”, by Manish Goyal, Acta Ciencia Indica, Vol. XXXVM No. 1, 1-4 (2009).
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26 “Numerical Solution of Tenth Order BVP using modified decomposition method”, by Manish Goyal, Acta Ciencia Indica, Vol. XXXVM No.1, 33-37 (2009).
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27 “Solution of Linear and Non – Linear Higher Order BVPs using MDM”, by Manish Goyal and U. Sharma, Acta Ciencia Indica, Vol. XXXVIM No.4, 691 – 698 (2010).
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28 “On Some Systems of Partial Differential Equations”, by Manish Goyal and S. Gupta, Acta Ciencia Indica, Vol. XLIII M No.2, 103 – 107 (2017).
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29 “Variational Iteration Method for solving Advection– Dispersion Equations” by Manish Goyal and S. Gupta, Acta Ciencia Indica, Vol. XLIII M No.3, 215 – 219 (2017).
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30 “Numerical analysis of fractional coronavirus model with Atangana-Baleanu derivative in Liouville-Caputo sense” by Manish Goyal*, A. K. Saraswat and A. Prakash in Indian J. Phys. (Accepted) (SCIE) IF 1.778, Springer, ISSN No. 0973-1458. Doi: 10.1007/s12648-022-02409-w.
Published Papers in Book Chapters:
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01 “Numerical analysis of coupled time-fractional differential equations arising in epidemiological models” by Manish Goyal, A. Prakash*, S. Gupta in a book title “Mathematical Modeling and Soft Computing in Epidemiology”, Publisher: CRC Press, Taylor & Francis Group, USA. ISBN: 978-1-003-03839-9. Page No. 173-198. Published on Dec. 29, 2020.
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02 “A reliable numerical approach for Liouville-Caputo time-fractional Belousov-Zhabotinsky equation arising in Chemical oscillatory reaction”, by A. Prakash*, H. Kaur, Rahul and Manish Goyal, In: S. Suhag, C. Mahanta, S. Mishra (eds.); Book Title: Control and Measurement Applications for Smart Grid, Book Subtitle: Select Proceedings of SGESC 2021. Series Title: Lecture Notes in Electrical Engineering, Vol. 822, I edition, Springer, Singapore. https://doi.org/10.1007/978-981-16-7664-2_31. PP 383-395. Published on Jan. 1, 2022. Print ISBN No.: 978-981-16-7663-5. Online ISBN No.: 978-981-16-7664-2