Title of article :
Solving convection-dominated anisotropic diffusion equations by an exponentially fitted finite volume method
Author/Authors :
Song Wang، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2002
Pages :
17
From page :
1249
To page :
1265
Abstract :
This paper deals with the numerical solution by an exponentially fitted finite volume method of a linear convection-dominated diffusion equation with a constant matrix diffusion coefficient and a singular perturbation parameter . The equation is first transformed into one with a scalar diffusion coefficient by a simple coordinate transformation, and an exponentially fitted finite volume method is then applied to the resulting equation. Application of this approach to the time-space discretisation of time-dependent singularly perturbed convection-diffusion equations is also discussed. Numerical examples are solved to demonstrate the usefulness of this approach. The numerical results show that the method is efficient and stable for a large range of values of .
Keywords :
Finite volume method , Singular perturbation , Time-space discretisation , Anisotropic diffusion coefficient , Convection-diffusion
Journal title :
Computers and Mathematics with Applications
Serial Year :
2002
Journal title :
Computers and Mathematics with Applications
Record number :
919399
Link To Document :
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