SOLVING PARTIAL DIFFERENTIAL EQUATIONS IN MATLAB

Authors

  • Laxmi Rathour Department of Mathematics, National Institute of Technology, Chaltlang, Aizawl 796 012, Mizoram, India;
  • Dragan Obradovic Department of Mathematics and Informatics, School "Agricultural High School" Pozarevac – Serbia
  • Lakshmi Narayan Mishra Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632 014, Tamil
  • Kejal Khatri Dept. of Mathematics, Government College Simalwara, Dungarpur 314403, Rajasthan, India; kejal0909@gmail.com
  • Vishnu Narayan Mishra Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak 484 887, Madhya Pradesh,

DOI:

https://doi.org/10.24297/jap.v21i.9547

Keywords:

MATLAB, mathematics teaching, partial differential equations, educational tools

Abstract

This paper aims to describe the application of educational tools with which it can develop interactivity and help pupils and students to better and more clearly understand mathematics and to understand that it is all around us, that it is our everyday life. The paper will show the ways of creating mathematical educational materials and their use. The calculation of partial differential equations has a wide application. Many problems in scientific research and engineering can be mathematically modeled by partial differential equations. A differential equation containing multiple independent variables is called a PDE (partial differential equation).

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References

Y. Achdou, B. Franchi, and N. Tchou. A partial differential equation connected to option pricing with stochastic volatility: regularity results and discretization. Math. Comp., 74(251):1291–1322 (electronic), 2005.

C. Chicone. Ordinary Differential Equations with Applications, 2006 Sep 23.

W. A. Strauss. Partial differential equations. John Wiley & Sons Ltd., Chichester, second edition, 2007. An introduction.

U. Ascher and L. Petzold. Computer Methods for Ordinary Differential Equations andDifferential-Algebraic Equations, SIAM, Philadelphia, 1998.

Ali H. Nayfeh& Pai, PF Linear and Nonlinear Mechanics of Structures (Wiley, 2008).

Kerschen, G., Worden, K., Vakakis, AF &Golinval, J.-C. The past, present and future of identification of nonlinear systems in structural dynamics. Mech. Sist. Signal Process. 20, 505–592. https://doi.org/10.1016/j.imssp.2005.04.008 (2006).

P. Deuflhard. Nonlinear equation solvers in boundary value problem codes. InCodes for Boundary-Value Problems in Ordinary Differential Equations: Proceedings of a Working Conference May 14–17, 1978 2005 May 25 (pp. 40-66). Berlin, Heidelberg: Springer Berlin Heidelberg.

C.T. Kelley. Solving Nonlinear Equations with Newton's Method, SIAM Pub., Philadelphia,2003.

C. Chicone, Ordinary Differential Equations with Applications, Springer, New York, 2006.

Ordokhani, I. and Farr, SD (2011) Application of Bernstein polynomials to solve nonlinear Fredholm integro-differential equations. Journal of Applied Mathematics and Bioinformatics, 1, 13-31.

AL-Shbool, M. and Hashim, I. (2015) Bernstein polynomials for solving nonlinear stiff systems of ordinary differential equations. AIP Conference Proceedings, 1678, Article ID: 060015. https://doi.org/10.1063/1.4931342

Ravashdeh, MS and Maitama, S. (2015) Solving Nonlinear Ordinary Differential Equations Using ND. Journal of Applied Analysis and Computation, 5, 77-88.

D. Arnold & J. C. Polking (1999). Ordinary Differential Equations Using MATLAB, 2nd ed. EnglewoodCliffs, NJ: Prentice-Hall.

Feng, G. 2011. Application of Matlab in Mathematical Analysis. Journal of Software. 6(7), 1225-1229.

Rodriguez, H., (2013). Introduction to MATLAB.

Gilat, A. (2016) MATLAB. 6th edn. Wiley. Available at: https://www.perlego.com/book/3866166/matlab-an-introduction-with-applications-pdf (Accessed: 31 August 2023).

A. Khalid, E. Bingimlas, (2011), Science Technology Education, Journal of Mathematics, 5 (3), 235-245 (2011).

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Published

2023-11-20

How to Cite

Rathour, L. ., Obradovic, D. ., Narayan Mishra, L. ., Khatri, . K. ., & Mishra, . V. N. . (2023). SOLVING PARTIAL DIFFERENTIAL EQUATIONS IN MATLAB. JOURNAL OF ADVANCES IN PHYSICS, 21, 274–281. https://doi.org/10.24297/jap.v21i.9547

Issue

Vol. 21 (2023)

Section

Articles

License

Copyright (c) 2023 Laxmi Rathour, Dragan Obradovic, Lakshmi Narayan Mishra, Kejal Khatri, Vishnu Narayan Mishra

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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