ABSTRACT
APPLICATIONS AND DEVELOPMENT OF A NEW VOLTERRA SCHEME FOR SOLVING NONLINEAR INTEGRAL EQUATIONS
Journal: Matrix Science Mathematic (MSMK)
Author: Ishaq A.A., Ayinde A.M., Jimoh F.M, Bello A.K.
This is an open access article distributed under the Creative Commons Attribution License CC BY 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited
DOI: 10.26480/msmk.01.2025.06.16
Volterra integral equations (VIEs) are extensively utilized across scientific, technological and engineeringdisciplines for modeling systems influenced by past behaviors or interactions. This study focuses on solvingnonlinear VIEs using a combination of power series and trigonometrically fitted functions. The analysis of thebasic properties of the Volterra scheme were numerically analyzed. The Volterra scheme is efficient, accurateand particularly effective for nonlinear problems. Numerical applications demonstrate the scheme’s accuracyin solving second-kind nonlinear Volterra integral equations, validating its robustness and computationaladvantages.
| Pages | 06-16 |
| Year | 2025 |
| Issue | 1 |
| Volume | 9 |
