Article Dans Une Revue Applied Mathematics and Computation Année : 2022

Performance of Borel-Padé-Laplace integrator for the solution of stiff and non-stiff problems

Ahmad Deeb
Aziz Hamdouni

Résumé

A stability analysis of the Borel-Padé-Laplace series summation technique, used as explicit time integrator, is carried out. Its numerical performance on stiff and non-stiff problems is analyzed. Applications to ordinary and partial differential equations are presented. The results are compared with those of many popular schemes designed for stiff and non-stiff equations.

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hal-03641062 , version 1 (14-04-2022)

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Ahmad Deeb, Aziz Hamdouni, Dina Razafindralandy. Performance of Borel-Padé-Laplace integrator for the solution of stiff and non-stiff problems. Applied Mathematics and Computation, 2022, 426, ⟨10.1016/j.amc.2022.127118⟩. ⟨hal-03641062⟩
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