New High Accuracy Non-polynomial Spline Group Explicit Iterative Method for Two Dimensional Elliptic Boundary Value Problems

Document Type: Article

Authors

School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Pulau Pinang, Malaysia

Abstract

In this paper, we propose a new high accuracy method based on non-polynomial spline for the numerical solution of two-dimensional elliptic partial di erential equations. Using a non-polynomial spline approximation in the xdirection and central di erence in the y- direction, we obtain a new nine-point compact finite di erence formulation. A four point group explicit (GE) iterative scheme with an acceleration tool is then applied to the obtained system. The formulation procedure is presented in detail. The eciency of the proposed method is then illustrated by some test problems. The numerical results are found to be in good agreement with the exact solutions

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Volume 24, Issue 6
Transactions on Computer Science & Engineering and Electrical Engineering (D)
November and December 2017
Pages 3181-3192