Numerical treatment of time-fractional Klein–Gordon equation using redefined extended cubic B-spline functions

M Amin, M Abbas, MK Iqbal, D Baleanu - Frontiers in Physics, 2020 - frontiersin.org
In this article we develop a numerical algorithm based on redefined extended cubic B-spline
functions to explore the approximate solution of the time-fractional Klein–Gordon equation …

Study of one dimensional hyperbolic telegraph equation via a hybrid cubic B-spline differential quadrature method

BK Singh, JP Shukla, M Gupta - International Journal of Applied and …, 2021 - Springer
Hybrid cubic B-spline differential quadrature method (in brief, HCB-DQM) have been
proposed for the study of one space dimensional time dependent partial differential …

Numerical solutions of the initial boundary value problem for the perturbed conformable time Korteweg‐de Vries equation by using the finite element method

L Pedram, D Rostamy - Numerical Methods for Partial …, 2021 - Wiley Online Library
In this paper, we investigate the initial‐boundary‐value problem for the nonhomogeneous
Korteweg‐de Vries equation with conformable derivative on time part of it. We use the finite …

An efficient superconvergent spline collocation algorithm for solving fourth order singularly perturbed problems

Shallu, A Kumari, VK Kukreja - International Journal of Applied and …, 2020 - Springer
In this work, improvised quintic B-spline collocation method is used to solve a class of fourth
order singularly perturbed boundary value problems. The proposed method is an extension …

Single term Walsh series method for the system of nonlinear delay Volterra integro-differential equations describing biological species living together

RCG Sekar, K Murugesan - International Journal of Applied and …, 2018 - Springer
In this article, the single term Walsh series (STWS) method is presented to solve the system
of nonlinear delay Volterra integro-differential equations, which arises in biology. The STWS …

Numerical analysis nonlinear multi‐term time fractional differential equation with collocation method via fractional B‐spline

M Ramezani - Mathematical Methods in the Applied Sciences, 2019 - Wiley Online Library
In this work, we present numerical analysis for nonlinear multi‐term time fractional
differential equation which involve Caputo‐type fractional derivatives for. The proposed …

An Effective Technique for Solving a Model Describing Biological Species Living Together

S Tomar, S Dhama - Computational Methods for Biological Models, 2023 - Springer
In this work, a reliable scheme is suggested to obtain an analytical approximation to the
solution of a system of nonlinear integro-differential equations that arises in biology. The …

Novel Cubic B-spline Based DQM for Studying Convection–Diffusion Type Equations in Extended Temporal Domains

JP Shukla, BK Singh, C Cattani… - … Numerical Techniques to …, 2024 - taylorfrancis.com
This chapter aims to develop a new hybrid cubic B-spline differential quadrature method (in
short nHCB-DQM) for studying convection–diffusion equations. The nHCB-DQM is based on …

New solitary wave solutions of generalized space-time fractional fifth order Laxs and Sawada Kotera KdV type equations in mathematical physics

MA Zahid, S Sarwar, M Arshad… - Journal of Advanced …, 2018 - ingentaconnect.com
In the modern advancement, space-time fractional-order problems are very essential in
many fields of physics and applied mathematics, it always needed to devise the techniques …

Numerical Analysis WSGD Scheme for One-and Two-Dimensional Distributed Order Fractional Reaction–Diffusion Equation with Collocation Method via Fractional B …

M Ramezani - International Journal of Applied and Computational …, 2021 - Springer
The main propose of this paper is presenting an efficient numerical scheme to solve WSGD
scheme for one-and two-dimensional distributed order fractional reaction–diffusion …