Numerical Solutions Of Volterra Integral Equations Using Legendre Polynomials

Authors

  • Md Azizur Rahman Department of Mathematics & Statistics Bangladesh University of Business & Technology, Dhaka ? 1216
  • Md Shafiqul Islam Department of Mathematics University of Dhaka, Dhaka-1000

DOI:

https://doi.org/10.3329/ganit.v32i0.13643

Keywords:

Volterra integral equation, Galerkin method, Legendre polynomials

Abstract

In this paper, Legendre piecewise polynomials are used to approximate the solutions of linear Volterra integral equations. Both second and first kind integral equations with regular as well as weakly singular kernels are considered. A matrix formulation is given for linear Volterra integral equations by the technique of Galerkin method. Numerical examples are considered to verify the accuracy of the proposed derivations, and the numerical solutions in this paper are also compared with the existing methods in the published literature.

DOI: http://dx.doi.org/10.3329/ganit.v32i0.13643

GANIT J. Bangladesh Math. Soc. (ISSN 1606-3694) 32 (2012) 29 35

 

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Published

2013-02-04

How to Cite

Rahman, M. A., & Islam, M. S. (2013). Numerical Solutions Of Volterra Integral Equations Using Legendre Polynomials. GANIT: Journal of Bangladesh Mathematical Society, 32, 29–35. https://doi.org/10.3329/ganit.v32i0.13643

Issue

Vol. 32 (2012)

Section

Articles

License

The copyright of GANIT: Journal of Bangladesh Mathematical Society is reserved by Bangladesh Mathematical Society (web: https://bdmathsociety.org/)