References

Abdullah, A.R., 1991. The four point Explicit Decoupled Group (EDG) method: A fast poisson solver. Int. J. Comput. Math., 38: 61-70.
CrossRef  |  Direct Link  |  

Akhir, M.K.M., M. Othman, J. Sulaiman, Z.A. Majid and M. Suleiman, 2011. Half-sweep modified successive overrelaxation for solving iterative method two-dimensional helmholtz equations. Aust. J. Basic Applied Sci., 5: 3033-3039.
Direct Link  |  

Aruchunan, E. and J. Sulaiman, 2011. Half-sweep conjugate gradient method for solving first order linear fredholm integro-differential equations. Aust. J. Basic Applied Sci., 5: 38-43.
Direct Link  |  

Borana, R.N., V.H. Pradhan and M.N. Mehta, 2014. The solution of instability phenomenon arising in homogeneous porous media by Crank-Nicolson finite difference method. Intl. J. Innov. Res. Sci. Eng. Technol., 3: 9793-9803.

Chew, J.V.L. and J. Sulaiman, 2016. Half-Sweep newton-gauss-seidelforimplicit finite difference solution of 1D nonlinear porous medium equations. Global J. Pure Appl. Math., 12: 2745-2752.
Direct Link  |  

Chew, J.V.L. and J. Sulaiman, 2016. Implicit solution of 1D nonlinear porous medium equation using the four-point Newton-EGMSOR iterative method. J. Appl. Math. Comput. Mech., 15: 11-21.
CrossRef  |  Direct Link  |  

Dahalan, A.A. and J. Sulaiman, 2016. Half-sweep two parameter alternating group explicit iterative method applied to fuzzy poisson equation. Applied Math. Sci., 10: 45-57.
CrossRef  |  Direct Link  |  

Evans, D.J., 1985. Group explicit iterative methods for solving large linear systems. Int. J. Comput. Math., 17: 81-108.
CrossRef  |  

Meher, R., M.N. Mehta and S.K. Meher, 2010. Adomian decomposition method for dispersion phenomena arising in longitudinal dispersion of miscible fluid flow through porous media. Adv. Theor. Appl. Mech., 3: 211-220.
Direct Link  |  

Meher, R., M.N. Mehta and S.K. Meher, 2011. A new approach to Backlund transformations for longitudinal dispersion of miscible fluid flow through porous media in oil reservoir during secondary recovery process. Theor. Appl. Mech., 38: 1-16.
Direct Link  |  

Muthuvalu, M.S. and J. Sulaiman, 2009. Half-sweep arithmetic mean method with high-order Newton-cotes quadrature schemes to solve linear second kind fredholm equations. Malaysian J. Fundam. Appl. Sci., 5: 7-16.
Direct Link  |  

Patel, K.K., M.N. Mehta and T.R. Singh, 2016. A homotopy series solution to a nonlinear partial differential equation arising from a mathematical model of the counter-current imbibition phenomenon in a heterogeneous porous medium. Eur. J. Mech. B. Fluids, 60: 119-126.
CrossRef  |  Direct Link  |  

Polyanin, A.D. and V.F. Zaitsev, 2004. Handbook of Nonlinear Partial Differential Equations. Chapman & Hall/CRC, Boca Raton, Florida, ISBN:1-58488-355-3, Pages: 813.

Pradhan, V.H., M.N. Mehta and T. Patel, 2011. A numerical solution of nonlinear equation representing one-dimensional instability phenomena in porous media by finite element technique. Intl. J. Adv. Eng. Technol., 2: 221-227.
Direct Link  |  

Saudi, A. and J. Sulaiman, 2012. Path planning for indoor mobile robot using half-sweep SOR via nine-point Laplacian (HSSOR9l). IOSR. J. Math., 3: 1-7.
CrossRef  |  Direct Link  |  

Vazquez, J.L., 2007. The Porous Medium Equation: Mathematical Theory. Clarendon Press, Wotton-under-Edge, England, ISBN:9780198569039, Pages: 624.

Wazwaz, A.M., 2007. The variational iteration method: A powerful scheme for handling linear and nonlinear diffusion equations. Comput. Math. Appl., 54: 933-939.
CrossRef  |  Direct Link  |  

Young, D., 1954. Iterative methods for solving partial difference equations of elliptic type. Trans. Am. Math. Soc., 76: 92-111.
CrossRef  |  Direct Link  |