Computational Finite Difference Scheme For Solving Second-Order Fredholm Integro-Differential Equations
DOI:
https://doi.org/10.60787/jnamp.vol69no1.488Keywords:
Second Order, NSFDM, Integro-differential equations, Fredholm Equations, Finite Difference Schemes (FDS)Abstract
In this study, the computational finite difference scheme of Non-Standard Finite Difference Methods (NSFDM) for solving second-order Fredholm Integro-differential equations will be built. The numerical technique and the exact answer coincide at any point inside the interval of integration, according to the method's structure. A methodological study was also performed to demonstrate that the solutions to the second-order Fredholm integro-differential problem have a matching finite difference scheme. The resulting approach was then used to solve various current second-order Fredholm integro-differential equation problems, and the numerical comparison of results demonstrate the closeness and dependability of the derived finite difference scheme.
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