@article{MAKHILLJEAS201813515696,
    title = {Implicit Finite Difference Solution of One-Dimensional Porous Medium Equations
Using Half-Sweep Newton-Explicit Group Iterative Method},
    journal = {Journal of Engineering and Applied Sciences},
    volume = {13},
    number = {5},
    pages = {1286-1290},
    year = {2018},
    issn = {1816-949x},
    doi = {jeasci.2018.1286.1290},
    url = {https://makhillpublications.co/view-article.php?issn=1816-949x&doi=jeasci.2018.1286.1290},
    author = {J.V.L. and},
    keywords = {Porous medium equation,half-seep,implicit finite difference scheme,Newton,explicit group,NGS},
    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.}
    }