Stability of Finite Difference Formula of Implicit Type for IBVP of Heat Equation


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Authors

  • Dhruti B. Joshi Department of Mathematics, Government Polytechnic, Himmatnagar, Gujarat, India
  • A. K. Desai Former Head of the Department of Mathematics, School of Sciences, Gujarat University, Ahmedabad, India

Keywords:

Heat Equation, Solution of First Order Linear PDE, Eigen values, Diagonalization of Matrix, Tridiagonal Matrix

Abstract

In the paper entitled ``A Finite Difference Formula of Implicit Type for IBVP of Heat Equation [2] we have derived a Finite Difference Formula to get numerical solutions of Initial-Boundary Value Problem of Heat Equation. As, we all know that only stable Formulas can give Numerical Solutions which are almost close to the Exact Solution. Here in this paper the stability of the Finite Difference Formula is checked with the help of Eigen Values and using the concept of Diagonalization of matrix.

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Published

15-09-2018

How to Cite

Dhruti B. Joshi, & A. K. Desai. (2018). Stability of Finite Difference Formula of Implicit Type for IBVP of Heat Equation. International Journal of Mathematics And Its Applications, 6(3), 307–314. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/384

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Section

Research Article