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
Goh, J., & Ali, N. H. M. (2017). New High Accuracy Non-polynomial Spline Group Explicit Iterative Method for Two Dimensional Elliptic Boundary Value Problems. Scientia Iranica, 24(6), 3181-3192. https://doi.org/10.24200/sci.2017.4487
MLA
Goh, J., & Ali, N. H. M. "New High Accuracy Non-polynomial Spline Group Explicit Iterative Method for Two Dimensional Elliptic Boundary Value Problems", Scientia Iranica, 24, 6, 2017, 3181-3192. doi: 10.24200/sci.2017.4487
HARVARD
Goh J., Ali N. H. M. (2017). 'New High Accuracy Non-polynomial Spline Group Explicit Iterative Method for Two Dimensional Elliptic Boundary Value Problems', Scientia Iranica, 24(6), pp. 3181-3192. doi: 10.24200/sci.2017.4487
CHICAGO
J. Goh & N. H. M. Ali, "New High Accuracy Non-polynomial Spline Group Explicit Iterative Method for Two Dimensional Elliptic Boundary Value Problems," Scientia Iranica, 24 6 (2017): 3181-3192, doi: 10.24200/sci.2017.4487
VANCOUVER
Goh J., Ali N. H. M. New High Accuracy Non-polynomial Spline Group Explicit Iterative Method for Two Dimensional Elliptic Boundary Value Problems. Scientia Iranica. 2017;24(6):3181-3192. doi: 10.24200/sci.2017.4487
