A third (fourth) order stable computational scheme for 2D Burgers type nonlinear parabolic partial differential equations on a non-uniformly spaced grid network
Navnit Jha,
Madhav Wagley
Abstract:An implicit compact scheme is proposed to approximate the solution of
parabolic partial differential equations (PDEs) of Burger’s type in
two-dimensions. These nonlinear PDEs are essential because of the
description of various mechanisms in engineering and physics. The
nonlinear convective and advection are discretized with high-order
accuracy on an arbitrary grid, which results in a family of
high-resolution discrete replacements of given PDEs. The essence of the
new scheme lies in its compact character and t… Show more
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