A numerical approach to solve hyperbolic telegraph equations via Pell–Lucas polynomials

Ş Yüzbaşı, G Yıldırım - Journal of Taibah University for Science, 2023 - Taylor & Francis
In this article, a collocation approximation is investigated for approximate solutions of
hyperbolic telegraph partial differential equations (HTPDEs). The method is based on evenly …

The use of physics-informed neural network approach to image restoration via nonlinear PDE tools

N Namaki, MR Eslahchi, R Salehi - Computers & Mathematics with …, 2023 - Elsevier
In this work, we propose a physics-informed solution for a blending PDE model with
application in image denoising and edge-preserving. The blending model contains isotropic …

A numerical algorithm for solving one-dimensional parabolic convection-diffusion equation

DA Koç, Y Öztürk, M Gülsu - Journal of Taibah University for …, 2023 - Taylor & Francis
A numerical method for solving one-dimensional (1D) parabolic convection–diffusion
equation is provided. We consider the finite difference formulas with five points to obtain a …