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Numerical Approximation Method for Solving Differential Equations

Salisu Ibrahim

2020Eurasian Journal of Science and Engineering12 citationsDOIOpen Access PDF

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 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.

Topics & Concepts

Numerical analysisNumerical methods for ordinary differential equationsMathematicsNumerical partial differential equationsDifferential equationApplied mathematicsNumerical stabilityNumerical approximationMathematical analysisDifferential algebraic equationOrdinary differential equationNumerical methods for differential equationsDifferential Equations and Numerical MethodsMatrix Theory and Algorithms
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