Article citationsMore>>

Tikhonov, A.N. (1963) On the Solution of Incorrectly Posed Problem and the Method of Regularization. Soviet Mathematics, 4, 1035-1038.

has been cited by the following article:

• TITLE: Non-Standard Difference Method for Numerical Solution of Linear Fredholm Integro-Differential Type Two-Point Boundary Value Problems

  AUTHORS: Pramod Kumar Pandey

  KEYWORDS: Composite Trapezoidal Method, Fredholm Integro-Differential Equations, Boundary Value Problem, Non-Linear Equation, Non-Standard Difference Method, Quadrature Formulas

  JOURNAL NAME: Open Access Library Journal, Vol.2 No.9, September 17, 2015

  ABSTRACT: In this article we have considered Fredholm integro-differential equation type second-order boundary value problems and proposed a rational difference method for numerical solution of the problems. The composite trapezoidal quadrature and non-standard difference method are used to convert Fredholm integro-differential equation into a system of equations. The numerical results in experiment on some model problems show the simplicity and efficiency of the method. Numerical results showed that the proposed method is convergent and at least second-order of accurate.