Numerical Approximation Method for Solving Differential Equations

Abstract

This paper investigates numerical methods for solving differential equation. In this work, the continuous least square method (CLSM) was considered to find the best numerical approximation by solving differential equations. The continuous least square method (CLSM) was developed together with the L_2 norm. Numerical results obtained yield minimum approximation error, provide the best approximation. Explicit results obtained are supported by examples treated with MATLAB and Wolfram Mathematica 11.

Keywords

• the least square method (lsm)
• ordinary differential equations
• l_2 norm