NON-POLYNOMIAL SPLINE SOLUTIONS FOR SPECIAL NONLINEAR FOURTH-ORDER BOUNDARY VALUE PROBLEMS

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  • R. Jalilian1,
  1. Ilam University, Iran Department of Mathematics

Revised: 13-04-2016

Accepted: 13-04-2016

Published in Issue 21-03-2011

How to Cite

Jalilian, R. (2011). NON-POLYNOMIAL SPLINE SOLUTIONS FOR SPECIAL NONLINEAR FOURTH-ORDER BOUNDARY VALUE PROBLEMS. International Journal of Mathematical Modelling & Computations, 1(2), 135-147. https://oiccpress.com/ijm2c/article/view/11043

Abstract

We present a sixth-order non-polynomial spline method for the solutions of two-point nonlinear boundary value problem u(4)+f(x,u)=0, u(a)=α1, u''(a)= α2, u(b)= β1,u''(b)= β2, in off step points. Numerical method of sixth-order with end conditions of the order 6 is derived. The convergence analysis of the method has been discussed. Numerical examples are presented to illustrate the applications of method, and to compare the computedresults with other known methods.
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