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- W4312309068 abstract "This article proposes an efficient one-step hybrid block method for solving first order initial value ordinary differential systems numerically. The hybrid feature of the method allows it to bypass the first Dahlquists barrier existing for linear multi-step methods whereas the block feature makes it capable to get an approximate solution of the problem at several points simultaneously. The development of the method is based on interpolation and collocation approaches. The method has the seventh algebraic order of convergence having the characteristic of A-stability. Further, an optimised version of the method has been obtained and formulated in variable step-size mode. This code has been tested on solving well-known differential problems viz. Brusselator system, the Robertson’s problem, the Oregonator problem and a system of Jacobi Elliptic functions, etc. The numerical data support the superior performance of the proposed method." @default.
- W4312309068 created "2023-01-04" @default.
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- W4312309068 date "2022-01-01" @default.
- W4312309068 modified "2023-10-17" @default.
- W4312309068 title "Seventh order a-stable optimized hybrid block method using adaptive step-size for solving differential systems" @default.
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- W4312309068 doi "https://doi.org/10.1063/5.0095188" @default.
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