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Radial Kernels Collocation Method for the Solution of Volterra Integro-Differential Equations

Year: 2024

Type: article

Abstract: Radial kernel interpolation is an advanced method in approximation theory for the construction of higher order accurate interpolants for scattered data up to higher dimensional spaces. In this manuscript, we formulate a radial kernel collocation approach for solving problems involving the Volterra integro-differential equations using two radial kernels: The Generalized Multi-quadrics and the linear Laguerre-Gaussians. This was achieved by simplifying the Volterra integral problem's solution to an algebraic system of equations. The impact of the shape parameter present in every kernel on the method's accuracy is examined and found to be significant. Two examples were used to illustrate the process; the numerical results are shown as tables and graphs. MATLAB 2018a was employed in the process.

Source: Science Engineering and Technology

DOI: 10.54327/set2024/v4.i2.160

Authors: Stephen Mkegh Nengem, Friday Haruna, Shalom Danjuma Bitrus

Institution: Taraba State University

Language: English

Topic: Numerical methods in engineering

Subfield: Mechanics of Materials

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4403334775

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