A Robust Numerical Method For The Singularly Perturbed Integro-Differential Equations

Abstract

In the present study, NIM is given to approximate the solution of SPFIDEs. As a first step, the FDM on a uniform mesh is used, followed by the TM for integrals. After these calculations, the difference equation is obtained in the form of a system of equations. This system of equations is solved with the TA. Finally, example applications are made, showing the accuracy and economics of the presented method.

Keywords

• Singularly Perturbed Problem(SPP)
• Fredholm Integro-Differential Equation(FIDE)
• Numerical Integration Method(NIM)
• Finite difference Method(FDM)
• Thomas Algorithm(TA)

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