Matrix-oriented implementation for the numerical solution of the partial differential equations governing flows and transport in porous media

Computers & Fluids ◽

10.1016/j.compfluid.2012.07.027 ◽

2012 ◽

Vol 68 ◽

pp. 38-46 ◽

Cited By ~ 14

Author(s):

Shuyu Sun ◽

Amgad Salama ◽

M.F. El Amin

Keyword(s):

Porous Media ◽

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solution ◽

Partial Differential ◽

Transport In Porous Media

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An Equation-Type Approach for the Numerical Solution of the Partial Differential Equations Governing Transport Phenomena in Porous Media

Procedia Computer Science ◽

10.1016/j.procs.2012.04.071 ◽

2012 ◽

Vol 9 ◽

pp. 661-669 ◽

Cited By ~ 15

Author(s):

Shuyu Sun ◽

Amgad Salama ◽

M.F. El-Amin

Keyword(s):

Porous Media ◽

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solution ◽

Transport Phenomena ◽

Partial Differential

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Treatment of nonlinear terms in the numerical solution of partial differential equations for multiphase flow in porous media

International Journal of Multiphase Flow ◽

10.1016/0301-9322(75)90037-3 ◽

1975 ◽

Vol 1 (6) ◽

pp. 817-844 ◽

Cited By ~ 30

Author(s):

A. Settari ◽

K. Aziz

Keyword(s):

Porous Media ◽

Partial Differential Equations ◽

Differential Equations ◽

Multiphase Flow ◽

Numerical Solution ◽

Flow In Porous Media ◽

Partial Differential

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Numerical solution of Burger-Huxley second order partial differential equations using splines

10.1063/5.0027712 ◽

2020 ◽

Author(s):

Abedallah Rababah

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solution ◽

Second Order ◽

Partial Differential

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Numerical Solution of Ordinary and Partial Differential Equations

OR ◽

10.2307/3007375 ◽

1963 ◽

Vol 14 (2) ◽

pp. 217

Author(s):

A. Mercer ◽

L. Fox

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solution ◽

Partial Differential

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Numerical Solution of Ordinary and Partial Differential Equations

The Mathematical Gazette ◽

10.2307/3613426 ◽

1963 ◽

Vol 47 (361) ◽

pp. 259

Author(s):

T. A. A. Broadbent ◽

L. Fox

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solution ◽

Partial Differential

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Numerical Solution of Partial Differential Equations

Numerical Solution of Partial Differential Equations ◽

10.1017/cbo9780511812248.011 ◽

2005 ◽

pp. 279-279 ◽

Cited By ~ 2

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solution ◽

Partial Differential

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Numerical solution of partial differential equations with stochastic Neumann boundary conditions

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2019061 ◽

2017 ◽

Vol 22 (11) ◽

pp. 1-18

Author(s):

Minoo Kamrani ◽

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Boundary Conditions ◽

Numerical Solution ◽

Neumann Boundary ◽

Neumann Boundary Conditions ◽

Partial Differential

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Multilayer perceptron neural networks with novel unsupervised training method for numerical solution of the partial differential equations

Applied Soft Computing ◽

10.1016/j.asoc.2008.02.003 ◽

2009 ◽

Vol 9 (1) ◽

pp. 20-29 ◽

Cited By ~ 71

Author(s):

Yazdan Shirvany ◽

Mohsen Hayati ◽

Rostam Moradian

Keyword(s):

Neural Networks ◽

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solution ◽

Multilayer Perceptron ◽

Training Method ◽

Partial Differential ◽

Unsupervised Training

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Time-dependent Partial Differential Equations and Their Numerical Solution

10.1007/978-3-0348-8229-3 ◽

2001 ◽

Cited By ~ 4

Author(s):

Heinz-Otto Kreiss ◽

Hedwig Ulmer Busenhart

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solution ◽

Time Dependent ◽

Partial Differential

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The application of sparse matrix methods to the numerical solution of nonlinear elliptic partial differential equations

Lecture Notes in Mathematics - Constructive and Computational Methods for Differential and Integral Equations ◽

10.1007/bfb0066268 ◽

1974 ◽

pp. 131-153 ◽

Cited By ~ 4

Author(s):

S. C. Eisenstat ◽

M. H. Schultz ◽

A. H. Sherman

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solution ◽

Sparse Matrix ◽

Elliptic Partial Differential Equations ◽

Partial Differential ◽

Matrix Methods ◽

Nonlinear Elliptic

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