non-polynomial spline solutions for special nonlinear fourth-order boundary value problems

Authors

r. jalilian

ilam university, iran department of mathematics

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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Journal title:
international journal of mathematical modelling and computations

جلد ۱، شماره ۲ (SPRING)، صفحات ۱۳۵-۱۴۷

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