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- W4379471503 abstract "Extended cubic B-spline collocation method is formulated to solve the Benjamin-Bona-Mahony equation without linearization. The Besse relaxation scheme is applied on the nonlinear terms and therefore transforms the equation into a systemof two linear equations. The time derivative is discretized using Forward Difference Approximation whereas the spatial dimension is approximated using extended cubic B-spline function. Applying the von-Neumann stability analysis, the proposed technique are shown unconditionally stable. Two numerical examples are presented and the results are compared with the exact solutions and recent methods." @default.
- W4379471503 created "2023-06-07" @default.
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- W4379471503 date "2023-04-15" @default.
- W4379471503 modified "2023-09-27" @default.
- W4379471503 title "Besse Extended Cubic B-spline Collocation Method for Solving Benjamin-Bona-Mahony Equation" @default.
- W4379471503 doi "https://doi.org/10.11113/matematika.v39.n1.1448" @default.
- W4379471503 hasPublicationYear "2023" @default.
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