2024
DOI: 10.3390/math12121870
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Numerical Resolution of Differential Equations Using the Finite Difference Method in the Real and Complex Domain

Ana Laura Mendonça Almeida Magalhães,
Pedro Paiva Brito,
Geraldo Pedro da Silva Lamon
et al.

Abstract: The paper expands the finite difference method to the complex plane, and thus obtains an improvement in the resolution of differential equations with an increase in numerical precision and a generalization in the mathematical modeling of problems. The article begins with a selection of the best techniques for obtaining finite difference coefficients for approximating derivatives in the real domain. Then, the calculation is expanded to the complex domain. The research expands forward, backward, and central diff… Show more

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