Analysis of the factorization method for elliptic differential equations |
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Authors: | Aditya Kaushik Vijayant Kumar Manju Sharma |
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Institution: | 1.Department of Mathematics,Kurukshetra University,Kurukshetra, Haryana,India;2.Department of Applied Sciences,University Institute of Engineering and Technology, Kurukshetra University,Kurukshetra, Haryana,India |
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Abstract: | This paper presents a numerical analysis of the method of factorization for elliptic boundary value problems. A second-order
elliptic boundary value problem is transformed into a decoupled system of first-order initial value problems. This elaborates
the decoupled system’s occupying operator, the solution of the problem, and the affine part of the operator. The solution
of the problem is thus obtained by solving the factorized system using the finite-element method. A comparative study is made
with the help of an example that illustrates many of its properties. |
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Keywords: | |
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