Authors : J.V.L. Chew and J. Sulaiman
Abstract: This study considers the implicit finite difference solution of 1-Dimensional Porous Medium Equations (1D PMEs) using Half-Sweep Newton-Explicit Group (HSNEG) iterative method. The general finite difference approximation equation of 1D PME is formulated using the half-sweep implicit finite difference scheme. The generated nonlinear system is then solved using the proposed HSNEG iterative method. The comparative analysis is shown using two tested iterative methods namely Newton-Gauss-Seidel (NGS) and Newton-Explicit Group (NEG). The numerical results support the finding that the HSNEG is more superior than the NGS and the NEG in terms of total iterations and computation time. All three executed iterative methods showed good accuracy in solving 1D PME.
J.V.L. Chew and J. Sulaiman, 2018. Implicit Finite Difference Solution of One-Dimensional Porous Medium Equations Using Half-Sweep Newton-Explicit Group Iterative Method. Journal of Engineering and Applied Sciences, 13: 1286-1290.