பொதுமைப்படுத்தப்பட்ட பொய் கோட்பாடு மற்றும் பயன்பாடுகளின் இதழ்

Polynomials Approximation Method for Solving Parabolic Partial Differential Equations

Abstract

Sunday Babuba

A new numerical method based on the approximation of polynomials is here proposed for solving the one dimensional parabolic partial differential equation arising from unsteady state flow of heat subject to initial and boundary conditions. The method results from discretization of the parabolic partial differential equation which leads to the production of a system of algebraic equations. By solving the system of algebraic equations we obtain the problem approximate solutions.