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Phumlani Dlamini
Phumlani Dlamini

Public Documents 1
Solving singular boundary value problems using higher-order compact finite difference...
Phumlani Dlamini
James Hloniphani Malele

Phumlani Dlamini

and 2 more

October 22, 2022
This study introduces a novel and very accurate method for implementing Robin boundary conditions while solving boundary value problems with compact finite difference schemes. Most studies numerically approximate Neumann and Robin boundary conditions with a first-order approximation, however, this reduces the accuracy in general. Our implementation produces highly accurate results in solving nonlinear singular boundary value problems. Other reported results achieved utilizing various techniques are used for comparison. Tables and graphs showing the results are given.

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