Computational fluid dynamics (CFD) is a branch of physics that utilizes numerical methods and algorithms to analyze and predict the behavior of fluids and gases under various conditions. This field ...

Compared to the conventional high-order staggered-grid finite-difference method (C-SFD), the time–space domain dispersion-relation-based high-order staggered-grid finite-difference method (TS-SFD) can ...

Abstract: This letter proposes a generalized and controllable-stability conformal method to address stability challenges inherent in conformal finite-difference time-domain algorithms. A quantitative ...

This study introduces a relatively new numerical technique for solving one-dimensional Fisher’s equation. The proposed numerical technique is a simple direct meshless method, which is based on the ...

ABSTRACT: Fractional-order time-delay differential equations can describe many complex physical phenomena with memory or delay effects, which are widely used in the fields of cell biology, control ...

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 ...

The mGFD (meshless Generalized Finite Differences) repository provides a comprehensive solution for numerically solving Partial Differential Equations in two dimensions on highly irregular regions.

All the codes are distributed under MIT License on GitHub and are free to use, modify, and distribute giving the proper copyright notice. This repository proposes a way to achieve approximations to ...

1 Department of Mathematics, Comilla University, Kotbari, Bangladesh. 2 Department of Mathematical Sciences, Kent State University, Kent, OH, USA. In this paper, we investigate and analyze ...