SIMULASI NUMERIK METODE BEDA HINGGA NON UNIFORM GIRD DALAM MENYELESAIKAN MASALAH NILAI BATAS PERSAMAAN DIFERENSIAL BIASA

Abstract

In this paper, we simulate the implementation of finite difference method with uniform gird to solve boundary value problem of ordinary differential equation. This study aims to understand well the implementation of finite difference method and also to get numerical solution with high accuracy for ordinary differential equation. The derivative approximation is based on the Taylor series which is then implemented in ordinary differential equations that have been discretized  with nonuniform gird. Completion of differential equations is simulated using the MATLAB program. So, conclusions can be drawn about the characteristics, efficiency, and accuracy of finite differece methods.