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Covers variable coefficient elliptic, parabolic and hyperbolic partial differential equations.
The present work focuses on the extensions of this approach to the variable coefficient problem.
A numerical method for variable coefficient elliptic PDEs on three dimensional domains is described.
A numerical method for variable coefficient elliptic problems on two-dimensional domains is presented.
LHPM presents an accurate methodology to solve non-homogeneous partial differential equations with a variable coefficient.
This talk will introduce the DGLM framework, the enrichment functions for the constant and variable coefficient cases, and discuss possible extensions to the incompressible Navier-Stokes equations.
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(2) Equation (2) is an anti-variable coefficient parabolic equation.
We perform Lie group classification of a time-variable coefficient combined Burgers and Benjamin-Bona-Mahony equations (B-BBM equation).
Our main result asserts that in this variable-coefficient context, the wave maps system is wellposed at almost-critical regularity.
In this paper, we study the variable-coefficient Lenells-Fokas (LF) model.
The incompressibility constraint is imposed by solving a variable-coefficient pressure equation.
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