An adaptive method for solving differential equations

Li Li

doi:10.1117/12.2672227

28 March 2023 An adaptive method for solving differential equations

Li Li

Proceedings Volume 12597, Second International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2022); 125970O (2023) https://doi.org/10.1117/12.2672227
Event: Second International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2022), 2022, Nanjing, China

Abstract

In this paper, the idea of equal arc length method is proposed, and the solver is designed successfully. Through a series of numerical experiments, it was found that the equal arc length method can effectively solve the initial value problem of the first order ordinary differential equation, and it is more efficient than other algorithms.

Citation Download Citation

Li Li "An adaptive method for solving differential equations", Proc. SPIE 12597, Second International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2022), 125970O (28 March 2023); https://doi.org/10.1117/12.2672227

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