An efficient numerical scheme for a class of integro-differential equations with its convergence and error analysis

Authors

  • Esmaiel Hesameddini
  • Seyed Mehdi Seyedi Department of Mathematics, Payame Noor University, Tehran, Iran

DOI:

https://doi.org/10.30495/jme.v17i0.2921

Keywords:

Integro-differential equations, Bernstein polynomials, Operational matrix

Abstract

In this article an efficient numerical approximation based on operational matrix of Bernstein Polynomials is used to obtain numerical solution of high order of integro-differential equations. At first, the integer and differential operator matrix of Bernstein Polynomials is shown, and this operator is applied to the governing equation to transform it into a algebraic equations. By solving this system an approximate solution for the equation under study will be determind. Also, the convergence and error analysis for this method are presented. To demonstrate the effectiveness of this scheme, several numerical examples are provided and the results are compared with the exact solution and other well-known method such as the collocation Bernoulli method

Author Biographies

Esmaiel Hesameddini

Departement of Mathematics, shiraz University of technology, shiraz, P.O.Box 71555-313, Iran

Seyed Mehdi Seyedi, Department of Mathematics, Payame Noor University, Tehran, Iran

Department of Mathematics, Payame Noor University, Tehran, Iran

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Published

2024-01-15

Issue

Vol. 17

Section

Vol. 17, No. 10, (2023)

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