Scientific Research Publishing

Gousidou-Koutita, M. (2008) Numerical Methods with Applications to Ordinary and Partial Differential Equations. Lecture Notes, Aristotle University of Thessaloniki, Thessaloniki.

ABSTRACT: In this paper we consider the numerical method of characteristics for the numerical solution of initial value problems (IVPs) for quasilinear hyperbolic Partial Differential Equations, as ...
Frontiers

Numerical solutions of the nonlinear Fisher’s equation using a one-level meshless method

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 ...
GitHub

Releases: ymguo-phy/Lecture_Numerical_Method

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Frontiers

Elastic-wave-equation numerical simulation using a time–space domain dispersion-relation-based staggered-grid finite-difference method

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 ...
Scientific Research Publishing

Gousidou-Koutita, M. (2008) Numerical Methods with Applications to Ordinary and Partial Differential Equations. Lecture Notes for Postgraduate Studies, Aristotle University of ...

ABSTRACT: The solution of the Riemann Problem (RP) for the one-dimensional (1D) non-linear Shallow Water Equations (SWEs) is known to produce four potential wave patterns for the scenario where the ...