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  1. Kyaukse University
  1. Kyaukse University
  2. Mathematics Department

Comparison of Finite Difference Methods on One Dimensional Heat Equation

https://meral.edu.mm/records/9269
https://meral.edu.mm/records/9269
311a92fb-5b78-418f-bda8-37b8acfef612
6b98858b-b191-431f-b0c2-14d80f4285e0
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Dr Dr Swe Zin Nwe(2022 journal).pdf (272 KB)
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Journal article
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Publication
Title
Title Comparison of Finite Difference Methods on One Dimensional Heat Equation
Language en
Publication date 2022-08-01
Authors
Swe Zin Nwe
Description
Numerical techniques are powerful tools for solving the partial differential equations. A few problems can be solved analytically as well as difficult boundary value problems can be solved by numerical methods easily. A numerical method known as finite difference methods (explicit, fully implicit and Crank-Nicolson schemes) is applied for solving the heat equations successfully. In this paper, the solutions of finite difference methods are presented in tables together with figures comparing the analytical solution.
Keywords
Finite difference methods, Local truncation error, boundary condition, stability and convergence
Journal articles
1
Yadanabon University Research Journal
12
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