[HTML][HTML] Numerical solution of convection–diffusion–reaction equations by a finite element method with error correlation

SA Lima, M Kamrujjaman, MS Islam - AIP Advances, 2021 - pubs.aip.org
This study contemplates the Finite Element Method (FEM), a well-known numerical method,
to find numerical approximations of the Convection–Diffusion–Reaction (CDR) equation. We …

A spectral collocation method for solving the non-linear distributed-order fractional Bagley–Torvik differential equation

AZ Amin, MA Abdelkawy, E Solouma, I Al-Dayel - Fractal and Fractional, 2023 - mdpi.com
One of the issues in numerical solution analysis is the non-linear distributed-order fractional
Bagley–Torvik differential equation (DO-FBTE) with boundary and initial conditions. We …

Design of neuro-swarming computational solver for the fractional Bagley–Torvik mathematical model

JLG Guirao, Z Sabir, MAZ Raja… - The European Physical …, 2022 - epjplus.epj.org
This study is to introduce a novel design and implementation of a neuro-swarming
computational numerical procedure for numerical treatment of the fractional Bagley–Torvik …

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

SC Buranay, MJ Chin… - Mathematical Methods in …, 2024 - Wiley Online Library
A highly accurate numerical method is given for the solution of boundary value problem of
generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0< β< 2 0< β< 2 …

[PDF][PDF] An Advanced Galerkin Approach to Solve the Nonlinear Reaction-Diffusion Equations With Different Boundary Conditions

H Ali, M Kamrujjaman, MS Islam - Journal of Mathematics …, 2022 - scholar.archive.org
This study proposed a scheme originated from the Galerkin finite element method (GFEM)
for solving nonlinear parabolic partial differential equations (PDEs) numerically with initial …

A Chebyshev collocation method for solving the non-linear variable-order fractional Bagley–Torvik differential equation

AZ Amin, AM Lopes, I Hashim - International Journal of Nonlinear …, 2023 - degruyter.com
A numerical approach based on the shifted Chebyshev–Gauss collocation method is
proposed for solving the non-linear variable-order fractional Bagley–Torvik differential …

[HTML][HTML] Taylor-Galerkin method for solving higher-order nonlinear complex differential equations

MH Kabir, MS Islam, M Kamrujjaman - MethodsX, 2024 - Elsevier
The Galerkin approach for numerically resolving higher-order Complex Differential
Equations (CDEs) in a rectangular domain in the complex plane is presented in this work …

[PDF][PDF] Numerical method to solve generalized nonlinear system of second order boundary value problems: Galerkin approach

SA Lima, MS Islam, H Ali… - Advances in the Theory of …, 2023 - dergipark.org.tr
In this study, we consider the system of second order nonlinear boundary value problems
(BVPs). We focus on the numerical solutions of different types of nonlinear BVPs by Galerkin …

Novel Evaluation of Fuzzy Fractional Cauchy Reaction‐Diffusion Equation

NA Shah, ER El-Zahar, HM Dutt… - Journal of Function …, 2022 - Wiley Online Library
The present research correlates with a fuzzy hybrid approach merged with a new iterative
transform method known as the fuzzy new iterative transform method. With the help of …

[PDF][PDF] Efficient Family of Iterative Methods for Solving Nonlinear Simultaneous Equations: A Comparative Study

H Ali, T Datta, M Kamrujjaman - Journal of Applied Mathematics …, 2021 - hillpublisher.com
The solution of a system of nonlinear equations is presumably one of the most common but
difficult features in numerical analysis in the sense of different aspirations for instance; high …