10.30495/maca.2020.679851

A simple method to solve nonlinear Volterra-Fredholm integro-differential equations

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  • Mohsen Mohamadi1,
  • Amir Shahmari1,
  1. Department of Mathematics, Ayatollah Amoli Branch, Islamic Azad University, Amol, Iran.

Published in Issue 2020-03-20

How to Cite

A simple method to solve nonlinear Volterra-Fredholm integro-differential equations. (2020). Mathematical Analysis and Its Contemporary Applications, 2(1). https://doi.org/10.30495/maca.2020.679851

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Abstract

In this paper, a new simple direct method to solve nonlinear Fredholm-Volterra integral equations is presented. By using Block-pulse (BP) functions, their operational matrices and Taylor expansion a nonlinear Fredholm-Volterra integral equation converts to a nonlinear system. Some numerical examples illustrate accuracy and reliability of our solutions. Moreover, the effect of noise shows our method is stable.

Keywords

  • Nonlinear Volterra-Fredholm integro-differential equation,
  • Block-pulse functions,
  • Taylor expansion,
  • Operational matrices
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References

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