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Articles

High-efficiency implicit scheme for solving first-order partial differential equations

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By Cordero Barbero, Torregrosa Sánchez, Juan Claudio Ramón
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[EN] We present three new approaches for solving first-order quasi-linear partial differential equations (PDEs) with iterative methods of high stability and low cost. The first is a new numerical version of the method of ...[+] [EN] We present three new approaches for solving first-order quasi-linear partial differential equations (PDEs) with iterative methods of high stability and low cost.
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Achieving Optimal Order in a Novel Family of Numerical Methods: Insights from Convergence and Dynamical Analysis Results

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By Cordero Barbero, Torregrosa Sánchez, Juan Claudio Ramón
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[EN] In this manuscript, we introduce a novel parametric family of multistep iterative methods designed to solve nonlinear equations. This family is derived from a damped Newton's scheme but includes an additional Newton ...[+] [EN] In this manuscript, we introduce a novel parametric family of multistep iterative methods designed to solve nonlinear equations.
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Comparisons of Numerical and Solitary Wave Solutions for the Stochastic Reaction-Diffusion Biofilm Model including Quorum Sensing

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By Muhammad Zafarullah, Muhammad Waqas, Muhammad Sajid, Cordero Barbero
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Baber, MZ.; Ahmed, N.; Yasin, MW.; Iqbal, MS.; Akgul, A.; Cordero Barbero, A.; Torregrosa Sánchez, JR. (2024). Comparisons of Numerical and Solitary Wave Solutions for the Stochastic Reaction-Diffusion Biofilm Model including Quorum Sensing. Mathematics. 12(9). https://doi.org/10.3390/math12091293 Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/206224 Ficheros en el ítem Nombre: BaberAhmedYasin - ...
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