ABSTRACT: This study presents a comprehensive numerical investigation of fourth-order nonlinear boundary value problems (BVPs) using an efficient and accurate computational approach. The present work ...
Abstract: This paper proposes a generalized and controllable-stability conformal method to address stability challenges inherent in conformal finite-difference time-domain (CFDTD) algorithms. A ...
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ABSTRACT: We implemented a two-step Asymmetric Perfectly Matched Layer (APML) model in High-Order Finite Difference Time Domain (FDTD) algorithm for solving two-dimensional Maxwell’s equations.
Abstract: In this letter, a 2-D parameter-optimized spatial finite-difference temporal differential (SFDTD) method is presented, referred to as the PO-SFDTD method. First, the dispersion ...
A new approach in the finite difference framework is developed, which consists of three steps: choosing the dimension of the local approximation subspace, constructing a vector basis for this subspace ...
Introduction: Fractional diffusion equations offer an effective means of describing transport phenomena exhibiting abnormal diffusion pat-terns, often eluding traditional diffusion models. Methods: We ...
The mGFD (meshless Generalized Finite Differences) repository provides a comprehensive solution for numerically solving Partial Differential Equations in two dimensions on highly irregular regions.
Department of Mathematics and Applied Mathematics, Nelson Mandela University, University Way, Summerstrand, Gqeberha, South Africa The plan of this study is detailed below. Section 2 describes the ...
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