The New General Integral Transform Decomposition method for solving nonlinear Volterra integral equation based on Numerical formula

• Author(s): Harshwardhan S. Pandharkar ; Dr. V. E. Nikumbh
• Paper ID: 1704001
• Page: 105-109
• Published Date: 13-01-2023
• Published In: Iconic Research And Engineering Journals
• Publisher: IRE Journals
• e-ISSN: 2456-8880
• Volume/Issue: Volume 6 Issue 7 January-2023

Abstract

In this paper, we propose a new method, namely New General Integral Decomposition method (GIDM) for solving nonlinear Volterra integral equations. This method is a combination of the new general integral transform method and decomposition method. The nonlinear terms can be easily handled by the use of A domian polynomials. The technique is described and illustrated with some examples. The resultsreveal that the proposed method is very efficient, simple and can beapplied to other nonlinear problems.

Keywords

New General integral decomposition method, Nonlinear integral equations, Adomian polynomials, Noise terms phenomena.

Citations

IRE Journals:
Harshwardhan S. Pandharkar , Dr. V. E. Nikumbh "The New General Integral Transform Decomposition method for solving nonlinear Volterra integral equation based on Numerical formula" Iconic Research And Engineering Journals Volume 6 Issue 7 2023 Page 105-109

IEEE:
Harshwardhan S. Pandharkar , Dr. V. E. Nikumbh "The New General Integral Transform Decomposition method for solving nonlinear Volterra integral equation based on Numerical formula" Iconic Research And Engineering Journals, 6(7)