Abstract
This article presents the numerical solution of a system of linear fourth-order boundary value problems using a different amalgamation of non-polynomial splines. A novel approach was developed using quintic spline function together with exponential and trigonometric functions. Our method is convergent and second-order accurate. Numerical examples show that the method congregates with sufficient accuracy to the exact solutions. Our methodology has the advantages over some existing quintic spline method, direct method, and finite difference method.
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