JAMC
Error Approximation of the Time Dependent Hyperbolic Differential Equation by Using the DG Finite Element Method
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Abstract
The paper offers a mathematical study to determine the error approximation of the numerical solution by applying the discontinuous Galerkin (DG) finite element method of the time dependent hyperbolic differential equation. The DG method is a dynamic numerical method with much mass compensation and more flexible meshing than other methods. This study is specified a general introduction and discuss about the discontinuous Galerkin Method for the time dependent hyperbolic differential equation. The hyperbolic problem satisfies the condition of the existence and uniqueness of DG solution. The error analysis of this problem is also established. It is a different and straightforward approach to the weak formulation to seek error analysis from all other finite element scheme which is given in the literature. The main goal of this study is to theoretically explore the convergence of the solution as well as to regulate the error approximation of the methods and show the validity of the results.
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How to cite this paper
Error Approximation of the Time Dependent Hyperbolic Differential Equation by Using the DG Finite Element Method
How to cite this paper: Md. Toriqul Islam, Md. Shakhawat Hossain. (2024) Error Approximation of the Time Dependent Hyperbolic Differential Equation by Using the DG Finite Element Method. Journal of Applied Mathematics and Computation, 8(2), 120-125.
DOI: http://dx.doi.org/10.26855/jamc.2024.06.004
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