Enhancing the accuracy and efficiency of two uniformly convergent numerical solvers for singularly perturbed parabolic convection–diffusion–reaction problems with …

KJ Ansari, M Izadi, S Noeiaghdam - Demonstratio Mathematica, 2024 - degruyter.com
This study is devoted to designing two hybrid computational algorithms to find approximate
solutions for a class of singularly perturbed parabolic convection–diffusion–reaction …

Gegenbauer wavelets collocation technique for the nonlinear Fisher's reaction–diffusion equation with application arising in biological and chemical sciences

M Mulimani, S Kumbinarasaiah - International Journal of Dynamics and …, 2025 - Springer
This paper studies the nonlinear Fisher's equation, a second-order parabolic partial
differential equation, and the wavelets collocation method for solving it. The Gegenbauer …

A highly accurate and efficient Genocchi‐based spectral technique applied to singular fractional order boundary value problems

M Izadi, KJ Ansari, HM Srivastava - Mathematical Methods in …, 2025 - Wiley Online Library
This article focuses on an efficient and highly accurate approximate solver for a class of
generalized singular boundary value problems (SBVPs) having nonlinearity and with two …

On computational analysis via fibonacci wavelet method for investigating some physical problems

S Ahmed, S Jahan, K Shah, T Abdeljawad - Journal of Applied …, 2024 - Springer
In this work, we considered wavelet analysis and the application of the Fibonacci wavelet
collocation method (FWCM) for solving partial differential equations (PDEs). The proposed …

A new generalized Bell wavelet and its applications for solving linear and nonlinear integral equations

P Yadav, S Jahan, KS Nisar - Computational and Applied Mathematics, 2025 - Springer
In this study, a new fractional function based on the Bell wavelet is defined to solve the
Fredholm and Volterra integral equations. The aim of this study is to approximate the …

Study of fractional telegraph equation via Shehu homotopy perturbation method

M Kapoor, N Bin Turki, NA Shah - Open Physics, 2024 - degruyter.com
The iterative Shehu transform homotopy perturbation method (HPM) is used in the present
research to address fractional telegraph equations in different dimensions, respectively …

Effects of magnetism on porous rectangular fins with convection and radiation

S Ullah, OJ Algahtani, ZU Din, A Ali - Thermal Science, 2024 - doiserbia.nb.rs
A fin is an extended surface used to enhance the surface area of a heat transfer surface
between a hot source and the outside environment. To maximise the rate of heat …

[PDF][PDF] The complex SEE transform technique in difference equations and differential difference equations

EA Mansour, EA Kuffi - Computational Methods for Differential …, 2024 - cmde.tabrizu.ac.ir
Differential equations are used to represent different scientific problems are handled
efficiently by integral transformations, where integral transforms represent an easy and …