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

Author

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  • Deeb, Ahmad
  • Hamdouni, Aziz
  • Razafindralandy, Dina

Abstract

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.

Suggested Citation

  • Deeb, Ahmad & Hamdouni, Aziz & Razafindralandy, Dina, 2022. "Performance of Borel–Padé–Laplace integrator for the solution of stiff and non-stiff problems," Applied Mathematics and Computation, Elsevier, vol. 426(C).
  • Handle: RePEc:eee:apmaco:v:426:y:2022:i:c:s0096300322002028
    DOI: 10.1016/j.amc.2022.127118
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    Cited by:

    1. Deeb, Ahmad & Kalaoun, Omar & Belarbi, Rafik, 2023. "Proper Generalized Decomposition using Taylor expansion for non-linear diffusion equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 208(C), pages 71-94.

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