Z. Masouri
Department of Mathematics, Islamshahr Branch, Islamic Azad University, Tehran, Iran.
[ 1 ] - An Efficient Numerical Algorithm For Solving Linear Differential Equations of Arbitrary Order And Coefficients
Referring to one of the recent works of the authors, presented in~cite{differentialbpf}, for numerical solution of linear differential equations, an alternative scheme is proposed in this article to considerably improve the accuracy and efficiency. For this purpose, triangular functions as a set of orthogonal functions are used. By using a special representation of the vector forms of triangula...
[ 2 ] - Numerical Solution of Second Kind Volterra and Fredholm Integral Equations Based on a Direct Method Via Triangular Functions
A numerical method for solving linear integral equations of the second kind is formulated. Based on a special representation of vector forms of triangular functions and the related operational matrix of integration, the integral equation reduces to a linear system of algebraic equations. Generation of this system needs no integration, so all calculations can easily be implemented. Numerical res...
نویسندگان همکار