Volume 57 | Number 4 | Year 2018 | Article Id. IJMTT-V57P538 | DOI : https://doi.org/10.14445/22315373/IJMTT-V57P538
The Liebmann’s and Gauss Seidel finite difference methods of solution are applied to a two dimensional second order linear elliptic partial differential equation with specified boundary conditions.The analytical (exact) solution obtained shows that the error of the numerical solutions increases with the number of iterations and consequentlyhas strong effects on the accuracy of the solution.
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E. E. Ndiyo, U. A. Abasiekwere, "Comparative Analysis of Finite Difference Methods for Solving Second Order Linear Partial Differential Equations," International Journal of Mathematics Trends and Technology (IJMTT), vol. 57, no. 4, pp. 277-283, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V57P538