Nonpolynomial Septic Splines Approach to the Solution of Fourth-order Two Point Boundary Value Problems

نویسندگان

  • Arshad Khan
  • Pooja Khandelwal
چکیده

Abstract: In this paper, we develop nonpolynomial septic spline functions for obtaining smooth approximations to the numerical solution of fourth-order two point boundary value problems occurring in a plate deflection theory. Direct methods of second, fourth and sixth order are developed. It is shown that the present method gives approximations, which are better than other existing methods. Three examples are given to demonstrate the practical usefulness and efficiency of our methods.

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تاریخ انتشار 2012