Institution
South Asian University, New-Delhi
Abstract
Using several properties of the polynomial splines, we first discuss the discretization of the first order spatial derivatives at different nodal points. Using such discretization we derive a scheme that is fourthorder accurate for the numerical solution of parabolic PDEs on a non-uniform mesh. Finally, we discuss the stability theory and compute the numerical results to illustrate the reliability of the scheme.
Non-uniform mesh high-order discretization for the generalized Burgers Equations
Using several properties of the polynomial splines, we first discuss the discretization of the first order spatial derivatives at different nodal points. Using such discretization we derive a scheme that is fourthorder accurate for the numerical solution of parabolic PDEs on a non-uniform mesh. Finally, we discuss the stability theory and compute the numerical results to illustrate the reliability of the scheme.
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