Resonant collisions among X-type, multi-lump, generalized breathers, N-solitons and rogue waves in plasma

STR Rizvi, S Ahmed - Optik, 2023 - Elsevier
Abstract This paper studies the (1+ 1)-dimensional Kuramoto–Sivashinsky equation (1D-
KSE) also known as canonical evolution equation within the context of flame front …

Performance evaluation of an indigenously-designed high performance dynamic feeding robotic structure using advanced additive manufacturing technology …

P Parikh, A Sharma, R Trivedi, D Roy… - International Journal on …, 2023 - Springer
The purposed research paper evaluates the development process of a 3D printed high
performance dynamic robotic structure using advanced additive manufacturing technology …

[HTML][HTML] Numerical solutions of Atangana-Baleanu time-fractional advection diffusion equation via an extended cubic B-spline technique

A Umer, M Abbas, M Shafiq, FA Abdullah… - Alexandria Engineering …, 2023 - Elsevier
The B-spline function is made up of a set of smooth piecewise polynomials that are
controlled by a set of control points. A linear combination of B-spline basis of a particular …

An efficient technique based on cubic B-spline functions for solving time-fractional advection diffusion equation involving Atangana–Baleanu derivative

M Shafiq, M Abbas, KM Abualnaja, MJ Huntul… - Engineering with …, 2022 - Springer
The present paper deals with cubic B-spline approximation together with θ θ-weighted
scheme to obtain numerical solution of the time fractional advection diffusion equation using …

[PDF][PDF] Operational spline scaling functions method for solving optimal control problems

S SHIHAB, SSB Smeein, M Delphi - Samarra Journal of Pure and Applied …, 2023 - iasj.net
Accepted: 31/05/2023 In this paper, a general expression formula for Spline Scaling
Functions (SSFs) operational matrix of derivative is constructed. Then it is used to study a …

An inverse problem of recovering the heat source coefficient in a fourth-order time-fractional pseudo-parabolic equation

MJ Huntul, I Tekin, MK Iqbal, M Abbas - Journal of Computational and …, 2024 - Elsevier
In this paper, we have considered the problem of recovering the time dependent source term
for the fourth order time fractional pseudoparabolic equation theoretically and numerically …

Solitary wave propagation of the generalized Kuramoto-Sivashinsky equation in fragmented porous media

MN Rasoulizadeh, Z Avazzadeh, O Nikan - International Journal of Applied …, 2022 - Springer
This paper presents a localized meshless approach based on the radial basis function-finite
difference (RBF-FD) to find the approximation solution of the generalized Kuramoto …

[HTML][HTML] Numerical solutions of advection diffusion equations involving Atangana–Baleanu time fractional derivative via cubic B-spline approximations

B Khan, M Abbas, ASM Alzaidi, FA Abdullah, MB Riaz - Results in Physics, 2022 - Elsevier
The B-spline or the basis spline function, is a piecewise polynomial function made up of
polynomials, its domain is subdivided by knots, and basis functions are non-zero on the …

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 …