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PUBLICATIONS

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Research Gate

Frontiers

Research Interests 

  • Numerical solution of Differential Equations(Ordinary/Partial differential equations

  • Fractional order differential equations

  • Finite difference methods

  • Finite element methods

  • Splines

  • ​Wavelets 

Expertise

  • Differential Equations Theory and Dynamical Systems

  • Numerical analysis for fractional calculus

  • Finite Element Method - FEM

List of Publications

  • Kumbinarasaiah S, Yeshwanth R, S Dhawan , “Analysis of new mathematical model for Rabies through wavelet ’, Frontiers in Applied Mathematics and Statistics, 2025. Impact factor 1.3, (ISSN/ISBN 22974687). (Switzerland)

  • Kumbinarasaiah S, Yeshwanth R, S Dhawan , “Bernoulli wavelet collocation approach for fractional Zakharov-Kuzuetsov equation”, Jn˜a¯na¯bha, 2025(Accepted).

  • Turgut Ak, S Dhawan, Mostafa M. A. Khater and Abdul Hamid Kara, “Insights into Vakhnenko-Parkes equation: Solitary waves under the influence of power law nonlinearity”, Pramana , 2025. Impact factor 2.1, SCI, (ISSN/ISBN 03044289, 09737111). (India)

  • V Singh, D Harursampath, S Dhawan, M Sahni, S Saxena, R Mallick, “ PhysicsInformed Neural Network for Solving a One-Dimensional Solid Mechanics Problem”, Modelling 5(4) (2024), 1532-1549. Impact factor 1.5, (ISSN/ISBN 2673- 3951). (Switzerland )

  • A Tripathi, A Kumar Tiwari, S Dhawan and R Dubey , “Computational method to Solve Burger’s equation with periodic boundary conditions”, Nonlinear Studies 31(2) (2024), 529- 542. Impact factor 3.009, SCI, (ISSN/ISBN 13598678, 21534373). (UK)

  • A Tripathi,R Dubey, A Kumar Tiwari and S Dhawan, “Some essential aspects of Spectral methods and their applications to PDE’s ”, Mathematics in Science, Engineering and Aerospace 15(2) (2024), 411- 424. Impact factor , (ISSN/ISBN20413165, 20413173). (United States)

  • Ben Wongsaijai, Tugba Aydemir, Turgut Ak, S Dhawan, “Analytical and numerical techniques for initial-boundary value problems of KolmogorovPetrovskyPiskunov equation”, Numerical Methods for Partial Differential Equations (Wiley), (2024) 1-18. Impact factor 3.009, SCI, (ISSN/ISBN 10982426). (United States)

  • Hadi Rezazadeh, S. Dhawan, Savaissou Nestori, Ahmet Bekirand Alper Korkmaz, “Computational solutions of the generalized Ito equation in nonlinear dispersive systems”, International Journal of Modern Physics B 35 (2021) 1-14. Impact factor 1.7, SCI, (ISSN/ISBN 0217-9792). (Singapore)

  • S Dhawan, JAT Machado, DW Brzezinski, MS Osman, “A Chebyshev Wavelet Collocation Method for Some Types of Differential Problems”, Symmetry, 13 (2021) 1-14. Impact factor 2.940, SCI, (ISSN 2073-8994). (Switzerland)

  • Turgut Ak, Asit Saha, S Dhawan, Abdul Hamid Kara, “Investigation of Coriolis effect on oceanic flows and its bifurcation via geophysical KdV equation”, Numerical Methods for Partial Differential Equations (Wiley), 36 (2020) 1234-1253. Impact factor 3.009, SCI, (ISSN/ISBN 10982426). (United States)

  • Turgut Ak, S Dhawan, “Approximate analytic compacton solutions of the K(p, p) equation by reduced differential transform method”, Computational Methods for Differential Equations, 30 ( 2020) 827-839, (ISSN/ISBN 2383-2533). (University of Tabriz, Iran)

  • ​S Dhawan, Turgut Ak, Gokhan Apaydin, “Algorithms for numerical solution of the equal width wave equation using multi-quadric quasi-interpolation method”, International Journal of Modern Physics C, 30 (2019) 1-17. Impact factor 1.6, SCI, (ISSN/ISBN 01291831). (Singapore)

  • Turgut Ak, Asit Saha and S Dhawan, “Performance of a hybrid computational scheme on travelling waves and its dynamic transition for Gilson-Pickering equation”, International Journal of Modern Physics C, 30 (2019) 1-17. Impact factor 1.6, SCI, (ISSN/ISBN 01291831). (Singapore)

  • T Ak, S Dhawan, B Inan, “Numerical solutions of the generalized RosenauKawahara-RLW equation arising in fluid mechanics via B-spline collocation method”, International Journal of Modern Physics C, 29 (2018) 1-20 Impact factor 1.6, SCI, (ISSN/ISBN 01291831). (Singapore)

  • Turgut Ak, Houria Triki, S Dhawan, Kutsi S. Erduran, “Theoretical and numerical investigations on solitary wave solutions of Gardner equation”, European Physical Journal Plus(Springer), 133 (2018) 1-14 Impact Factor 2.8 , SCI, (ISSN/ISBN 21905444). (United States)

  • Muhammad Nasir Ali, Syed Muhammad Husnine, Asit Saha, S K Bhowmik, S Dhawan, Turgut Ak, “Exact solutions, conservation laws, bifurcation of nonlinear and supernonlinear travelling waves for Sharma-Tasso-Olver equation”, Nonlinear Dynamics (Springer) 94 (2018) 1791-1801 Impact Factor 5.2, SCI, (ISSN/ISBN 0924090X). (Netherlands)

  • Turgut Ak, Houria Triki, S Dhawan, Samir Kumar Bhowmik, Seithuti Philemon Moshokoa, Malik Zaka Ullah, Anjan Biswas, “Computational Analysis of Shallow Water Waves with Korteweg-de Vries Equation”, Scientia Iranica 25(5) (2018) 2582-2597 Impact Factor 1.435, SCI, (ISSN/ISBN 1026-3098). (Sharif University of Technology, Iran)

  • Turgut Ak, S Dhawan, “A practical and powerful approach to potential KdV and Benjamin equations”, Beni-Suef University Journal of Basic and Applied Sciences (Elsevier) 6 (2017) 383-390, (ISSN/ISBN 2314-8543). (Germany)

  • Turgut Ak, S Dhawan, S. Battal Gazi Karakoc, Samir Kumar Bhowmik and Kamal R. Raslan, “Numerical Study of Rosenau-KdV Equation Using Finite Element Method Based on Collocation Approach”, Mathematical Modelling and Analysis (Taylor & Francis) 22 (2017) 373-388 Impact Factor 1.603, SCI, (ISSN/ISBN 13926292).

  • S.Dhawan, S.Kapoor, Sheo Kumar, “Galerkin least square B-spline approach towards advection-diffusion equation”, Applied Mathematics and Computation (Elsevier) 261 (2015) 128-140 Impact Factor 4.397, SCI, (ISSN/ISBN 18735649). (United States)

  • S.Dhawan, S.Arora, S.Kumar, “Approximation of advection-diffusion phenomenon with wavelets”, Neural, Parallel, and Scientific Computations 22 (2014) 45-58, (ISSN/ISBN 1083-2564). (United States)

  • S.Dhawan, S.Arora, S.Kumar, “Numerical approximation of heat equation using Haar wavelets”, International Journal of Pure and Applied Mathematics 86 (2013) 55-63, (ISSN/ISBN 1314-3395 ). (Bulgaria)

  • S.Dhawan, S.Kapoor, Sheo Kumar, “Numerical method for advection diffusion equation using FEM and B-splines”, Journal of Computational Science (Elsevier) 3 (2012) 429-437 Impact Factor 3.976, SCI, (ISSN/ISBN 1877-7503). (Netherlands)

  • S.Dhawan, S.Kapoor, S.Kumar, S.Rawat, “Contemporary review of distinguish simulation process for the solution of nonlinear Burgers’ equation”, Journal of Computational Science (Elsevier) 3 (2012) 405-419 Impact Factor 3.976, SCI, (ISSN/ISBN 1877-7503 ). (Netherlands)

  • . S.Dhawan, S.Kapoor, “Numerical Simulation of Advection-Diffusion Equation”, International Journal of Mathematical Modelling and Numerical Optimization 2 (2011) 13-27, (ISSN/ISBN 20403607 ). (Switzerland)

  • S.Dhawan, Sheo Kumar, “Approximation of Temperature Distribution in a Solid Body using Semi-Finite Element Technique”, Indian Journal of Biomechanics: Special Issue (2009) 246-250, (ISSN/ISBN 0974-0783).

Invited talk/ Paper Presentations/Session Chair

​• Delivered invited talk at International Conference on Nonlinear Dynamics and applications(ICNDA2024) organized by SMIT, Majitar, East Sikkim (Feb 21-23, 2024) 

• Delivered invited talk at Department of Mathematics & Statistics, CCSHAU Hisar, Haryana (December 20, 2023).

• Presented research paper at International Conference & Symposium on AI Advancements in Hyperbolic and Parabolic PDEs(ICS-AIPDEs23) jointly organized by University of Calicut, Kerala, India and Department of Mathematical Sciences, UNIST, South Korea, 2023.

• Delivered invited talk at Govt Girls Sr Sec. School, Jind(HR), India 2023.

• Session Chair in National Conference on Computational Mathematics, National Institute of Technology Puducherry (December 22-23, 2022).

• Session Chair in 4th International Conference on Communication and Intelligent Systems ICCIS 2022, National Institute of Technology Delhi (December 19- 20, 2022).

• Delivered invited talk in National Conference On Recent Developments In Fractional Calculus and Its Applications (RDFCA 2022) held at SASTRA Deemed to be University, Thanjavur, Tamil Nadu. (November 18-19, 2022).

• Presented research paper at International Conference on Evolution in Pure and Applied Mathematics (November 16-18, 2022).

• Presented research paper at 2nd International Conference on Recent Advances in Computational Mathematics and Engineering, B K Birla Institute of Engineering and Technology, Pilani, Rajasthan, India (May 30-31, 2022).

• Delivered invited talk at SVIET, Banur(Punjab) India (May 05, 2022).

• Session Chair in International Conference on Nonlinear Dynamics and applications(ICNDA) organized by Department of Mathematics, Sikkim Manipal Institute of Technology (SMIT), Sikkim Manipal University, Majitar, East Sikkim ( March 9-11, 2022) .

• Delivered invited talk at SOA University, Bhubaneswar, Odisha, India (January 22, 2022).

• Session Chair in One-Day National Conference, Govt. College Satnali, Haryana, India (May 29, 2021).

• Presented research paper at International Conference on Recent Advances in Computational Mathematics and Engineering, B K Birla Institute of Engineering and Technology, Pilani, Rajasthan, India (March 19-21, 2021).

• Delivered invited talk at Shrimati Indira Gandhi College, Tiruchirappalli, Tamil Nadu, India (March 9, 2021).

• Delivered invited talk at SASTRA University, Tamilnadu, India (Nov. 26, 2020). • Delivered invited talk at Govt. College, Bahu, Haryana, India (Jan. 25, 2020).

• Presented research paper at International Conference on Biomedical Engineering and Assistive Technologies, NIT Jalandhar (Pb.), India (Dec 6-7, 2012).

• Presented research paper at National conference on Globe Trends in Mechanical Engineering (GTME-2010), RBIET (Pb.), India (April 16- 17, 2010).

• Presented research paper at International Conference on Biomedical Engineering and Assistive Technologies, NIT Jalandhar (Pb.), India (Dec 17-19, 2010).

• Presented research paper at National Conference on Biomechanics, IIT Roorkee, India (March 7-8, 2009).

• Presented research paper at International Conference on Scientific Computing 09, Las Vegas, Nevada, U.S.A. (July 13-16, 2009).

• Presented research paper at International Conference on Recent Trends in Mathematics and its Applications (ICRTMA-09), Jamia Milia Islamia University, New Delhi, India (March 30-31, 2009).

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