Approximation Methods for Linear and Nonlinear Diffusion-Reaction Equations with Discontinuous Boundary Conditions

P. L. Mills; S. Lai; M. P. Duduković; P. A. Ramachandran

doi:10.1137/0909017

Approximation Methods for Linear and Nonlinear Diffusion-Reaction Equations with Discontinuous Boundary Conditions

SIAM Journal on Scientific and Statistical Computing ◽

10.1137/0909017 ◽

1988 ◽

Vol 9 (2) ◽

pp. 271-288 ◽

Cited By ~ 6

Author(s):

P. L. Mills ◽

S. Lai ◽

M. P. Duduković ◽

P. A. Ramachandran

Keyword(s):

Boundary Conditions ◽

Nonlinear Diffusion ◽

Diffusion Reaction ◽

Approximation Methods ◽

Discontinuous Boundary ◽

Linear And Nonlinear ◽

Reaction Equations

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A numerical study of approximation methods for solution of linear and nonlinear diffusion-reaction equations with discontinuous boundary conditions

Computers & Chemical Engineering ◽

10.1016/0098-1354(88)85004-x ◽

1988 ◽

Vol 12 (1) ◽

pp. 37-53 ◽

Cited By ~ 8

Author(s):

P.L. Mills ◽

S. Lai ◽

M.P. Duduković ◽

P.A. Ramachandran

Keyword(s):

Boundary Conditions ◽

Nonlinear Diffusion ◽

Numerical Study ◽

Diffusion Reaction ◽

Approximation Methods ◽

Discontinuous Boundary ◽

Linear And Nonlinear ◽

Reaction Equations

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Solution methods for a class of linear and nonlinear diffusion—reaction equations with mixed boundary conditions

The Chemical Engineering Journal ◽

10.1016/0300-9467(87)80013-8 ◽

1987 ◽

Vol 36 (1) ◽

pp. 17-29 ◽

Cited By ~ 4

Author(s):

P.L. Mills ◽

S. Lai ◽

M.P. Duduković ◽

P.A. Ramachandran

Keyword(s):

Boundary Conditions ◽

Nonlinear Diffusion ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Diffusion Reaction ◽

Solution Methods ◽

Linear And Nonlinear ◽

Reaction Equations

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Solitary and Travelling Wave Solutions of Certain Nonlinear Diffusion-Reaction Equations

10.31219/osf.io/sqgeu ◽

2020 ◽

Author(s):

Miftachul Hadi

Keyword(s):

Nonlinear Diffusion ◽

Travelling Wave ◽

Diffusion Reaction ◽

Travelling Wave Solutions ◽

Wave Solutions ◽

Reaction Equations

We review the work of Ranjit Kumar, R S Kaushal, Awadhesh Prasad. The work is still in progress.

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A dynamical study of certain nonlinear diffusion–reaction equations with a nonlinear convective flux term

Pramana ◽

10.1007/s12043-018-1668-0 ◽

2018 ◽

Vol 92 (1) ◽

Cited By ~ 1

Author(s):

Anand Malik ◽

Hitender Kumar ◽

Rishi Pal Chahal ◽

Fakir Chand

Keyword(s):

Nonlinear Diffusion ◽

Diffusion Reaction ◽

Dynamical Study ◽

Convective Flux ◽

Reaction Equations

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On the exact solutions of nonlinear diffusion-reaction equations with quadratic and cubic nonlinearities

Pramana ◽

10.1007/s12043-006-0069-y ◽

2006 ◽

Vol 67 (2) ◽

pp. 249-256 ◽

Cited By ~ 9

Author(s):

R S Kaushal ◽

Ranjit Kumar ◽

Awadhesh Prasad

Keyword(s):

Exact Solutions ◽

Nonlinear Diffusion ◽

Diffusion Reaction ◽

Reaction Equations ◽

Quadratic And Cubic Nonlinearities

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Steady-state solution of a nonlinear diffusion-reaction problem with a discontinuous boundary condition using orthogonal collocation on finite elements

Chemical Engineering Science ◽

10.1016/0009-2509(88)85083-8 ◽

1988 ◽

Vol 43 (5) ◽

pp. 1206-1209 ◽

Cited By ~ 1

Keyword(s):

Boundary Condition ◽

Steady State ◽

Finite Elements ◽

Nonlinear Diffusion ◽

Steady State Solution ◽

State Solution ◽

Diffusion Reaction ◽

Orthogonal Collocation ◽

Discontinuous Boundary ◽

Reaction Problem

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Approximate solutions for nonlinear diffusion—reaction equations using the maximum principle: the effects of pellet geometry

Chemical Engineering Science ◽

10.1016/0009-2509(91)85038-y ◽

1991 ◽

Vol 46 (12) ◽

pp. 3317-3319

Author(s):

Monica C. Regalbuto ◽

William Strieder ◽

Arvind Varma

Keyword(s):

Maximum Principle ◽

Nonlinear Diffusion ◽

Approximate Solutions ◽

Diffusion Reaction ◽

The Maximum Principle ◽

Reaction Equations

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Exact solutions of some coupled nonlinear diffusion-reaction equations using auxiliary equation method

Pramana ◽

10.1007/s12043-012-0341-2 ◽

2012 ◽

Vol 79 (3) ◽

pp. 393-402

Author(s):

Ranjit Kumar

Keyword(s):

Exact Solutions ◽

Nonlinear Diffusion ◽

Equation Method ◽

Diffusion Reaction ◽

Auxiliary Equation ◽

Auxiliary Equation Method ◽

Reaction Equations

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Enhanced group classification of nonlinear diffusion–reaction equations with gradient-dependent diffusivity

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2019.123739 ◽

2020 ◽

Vol 484 (1) ◽

pp. 123739 ◽

Cited By ~ 6

Author(s):

Stanislav Opanasenko ◽

Vyacheslav Boyko ◽

Roman O. Popovych

Keyword(s):

Nonlinear Diffusion ◽

Group Classification ◽

Diffusion Reaction ◽

Reaction Equations

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A novel radial basis function method for 3D linear and nonlinear advection diffusion reaction equations with variable coefficients

Engineering With Computers ◽

10.1007/s00366-020-01161-1 ◽

2020 ◽

Author(s):

Xia Tian ◽

Ji Lin

Keyword(s):

Basis Function ◽

Function Method ◽

Variable Coefficients ◽

Diffusion Reaction ◽

Advection Diffusion ◽

Nonlinear Advection ◽

Linear And Nonlinear ◽

Reaction Equations ◽

Advection Diffusion Reaction Equations ◽

Radial Basis Function Method

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