Classic Spline Functions for Approximate Solution of System of Non-Linear Volterra Integral Equations of the Second Kind

Authors

  • Debo M. Al-Rahal Department of Mathematics, Faculty of Edication-Sa'ada, Amran University, Sa'ada, Yemen

DOI:

https://doi.org/10.59167/tujnas.v5i5.1314

Keywords:

Three different kinds of classic spline function, System of nonlinear Volterra integral equations, Classic Spline Functions , Non-Linear Volterra Integral Equations

Abstract

In this paper we consider non-linear system of Volterra integral equations of the second kind (NSVIEK2), Three different kinds of classic spline functions (Linear, quadratic and cubic) have been modified and applied for the first time to treat the above system, A comparison between approximate and exact results for two numerical examples depending on the least-square error are given to show the accuracy of the results obtained by using this method, Programs are written in matlab program version 7.0.

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Published

28-01-2023

How to Cite

Al-Rahal, D. M. (2023). Classic Spline Functions for Approximate Solution of System of Non-Linear Volterra Integral Equations of the Second Kind. Thamar University Journal of Natural & Applied Sciences, 5(1), 121–133. https://doi.org/10.59167/tujnas.v5i5.1314

Issue

Vol. 5 No. 1 (2012): Volume (5) Number (1)

Section

Full-length articles

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Creative Commons License

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