Recovering a source term in the higher-order pseudo-parabolic equation via cubic spline functions

MJ Huntul - Physica Scripta, 2022 - iopscience.iop.org
In this paper, we considered an inverse problem of recovering the space-dependent source
coefficient in the third-order pseudo-parabolic equation from final over-determination …

[HTML][HTML] Numerical study of generalized 2-D nonlinear Benjamin–Bona–Mahony–Burgers equation using modified cubic B-spline differential quadrature method

P Joshi, M Pathak, J Lin - Alexandria Engineering Journal, 2023 - Elsevier
The objective of this work is to present the modified cubic B-spline differential quadrature
(MCBSDQ) method for the numerical study of the generalized 2-D nonlinear Benjamin …

An Efficient Cubic B-Spline Technique for Solving the Time Fractional Coupled Viscous Burgers Equation

U Ghafoor, M Abbas, T Akram, EK El-Shewy… - Fractal and …, 2024 - mdpi.com
The second order Burger's equation model is used to study the turbulent fluids, suspensions,
shock waves, and the propagation of shallow water waves. In the present research, we …

Conformable Sumudu Transform of Space‐Time Fractional Telegraph Equation

AE Hamza, MZ Mohamed… - Abstract and Applied …, 2021 - Wiley Online Library
This paper intends to obtain accurate and convergent numerical solutions of linear space‐
time matching telegraph fractional equations by means of a double Sumudu matching …

Exploring structural components in autoencoder-based data clustering

S Chatterjee, SJ Choudhury - Engineering Applications of Artificial …, 2025 - Elsevier
Clustering is a fundamental machine-learning task that has received extensive popularity in
the literature. The foundational tenet of traditional clustering approaches is that data are …

An efficient hybrid method based on cubic B-spline and fourth-order compact finite difference for solving nonlinear advection–diffusion–reaction equations

S Gulen - Journal of Engineering Mathematics, 2023 - Springer
This paper proposes an efficient hybrid numerical method to obtain approximate solutions of
nonlinear advection–diffusion–reaction (ADR) equations arising in real-world phenomena …

New Hermite collocation approach with shocks wave capturing for solving non-linear coupled Burgers-type model at high Reynolds number

A Kumari, S Kumar, VK Kukreja - Engineering with Computers, 2024 - Springer
This paper aims to study the shock wave type nonlinear coupled advection–diffusion models
using the cubic Hermite-based collocation method. This approach combines orthogonal …

Two effective methods for solution of the Gardner–Kawahara equation arising in wave propagation

KK Ali, DY Sucu, SBG Karakoc - Mathematics and Computers in Simulation, 2024 - Elsevier
In this paper, we deal with the analytical and numerical solutions of the Gardner–Kawahara
(GK) equation, known as the extended Korteweg–de Vries equation, which describes …

Numerical solution of the coupled Burgers equation by trigonometric B‐spline collocation method

Y Uçar, NM Yağmurlu, MK Yiğit - Mathematical Methods in the …, 2023 - Wiley Online Library
In the present study, the coupled Burgers equation is going to be solved numerically by
presenting a new technique based on collocation finite element method in which cubic …

A numerical solver based on Haar wavelet to find the solution of fifth-order differential equations having simple, two-point and two-point integral conditions

M Ahsan, W Lei, M Junaid, M Ahmed… - Journal of Applied …, 2024 - Springer
This article introduces a Haar wavelet-based numerical method for solving fifth-order linear
and nonlinear differential equations. This method easily handles both homogeneous and …