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- W2485346345 abstract "This paper considers Newton-MSOR iterative method for solving 1D nonlinear porous medium equation (PME). The basic concept of proposed iterative method is derived from a combination of one step nonlinear iterative method which known as Newton method with Modified Successive Over Relaxation (MSOR) method. The reliability of Newton-MSOR to obtain approximate solution for several PME problems is compared with Newton-Gauss-Seidel (Newton-GS) and Newton-Successive Over Relaxation (Newton-SOR). In this paper, the formulation and implementation of these three iterative methods have also been presented. From four examples of PME problems, numerical results showed that Newton-MSOR method requires lesser number of iterations and computational time as compared with Newton-GS and Newton-SOR methods." @default.
- W2485346345 created "2016-08-23" @default.
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- W2485346345 date "2016-01-01" @default.
- W2485346345 modified "2023-09-26" @default.
- W2485346345 title "Application of MSOR iteration with Newton scheme for solutions of 1D nonlinear porous medium equations" @default.
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- W2485346345 doi "https://doi.org/10.1063/1.4952497" @default.
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