In this book a sixth-order parallel splitting method is developed
to get more accurate numerical solution of Parabolic Partial
Differential equations. Here sixth-order approximations for
second-order parabolic partial differential equations and their
algorithms are developed using six parallel processors. In addition
to giving a more favorable truncation error, the use of higher
order approximates to the matrix exponential functions improves the
stability properties of finite difference schemes yielded, which is
clear in examples and results are compared.
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