A numerical approach for a class of time-fractional reaction–diffusion equation through exponential B-spline method

ASVR Kanth, N Garg - Computational and Applied Mathematics, 2020 - Springer
A numerical approach for a class of time-fractional reaction–diffusion equation through
exponential B-spline method is presented in this paper. The proposed scheme is a …

A convergent exponential B-spline collocation method for a time-fractional telegraph equation

A Singh, S Kumar - Computational and Applied Mathematics, 2023 - Springer
This work aims to develop and analyze a numerical method for solving a time-fractional
telegraph equation of Caputo type. The method is constructed using a finite difference …

An implicit numerical scheme for a class of multi-term time-fractional diffusion equation

ASVR Kanth, N Garg - The European Physical Journal Plus, 2019 - epjplus.epj.org
In this work, we study an implicit numerical scheme for a class of multi-term time-fractional
diffusion equation, where the fractional derivatives are described in the Caputo sense. The …

[PDF][PDF] An extended cubic B-spline collocation scheme for time fractional sub-diffusion equation

T Akram, M Abbas, AI Ismail - AIP conference Proceedings, 2019 - researchgate.net
In this paper, an extended cubic B-spline scheme is developed to solve the time fractional
sub-diffusion equation. The time fractional derivative is represented using Caputo's formula …

Numerical solution of fractional cable equation via extended cubic B-spline

T Akram, M Abbas, AI Ismail - AIP Conference Proceedings, 2019 - pubs.aip.org
A numerical method based on the finite difference method and an extended cubic B-spline
(ECB) is generated to handle the Fractional differential equation (FCE). Extended cubic B …

An unconditionally stable algorithm for multiterm time fractional advection–diffusion equation with variable coefficients and convergence analysis

ASV Ravi Kanth, N Garg - Numerical Methods for Partial …, 2021 - Wiley Online Library
This paper focuses on the numerical solution of the variable coefficient multiterm time
fractional advection–diffusion equation via exponential B‐splines. We discretize the …

An efficient numerical method based on exponential b-splines for a time-fractional Black–Scholes equation governing European options

A Singh, S Kumar - Computational Economics, 2023 - Springer
In this paper a time-fractional Black–Scholes model (TFBSM) is considered to study the price
change of the underlying fractal transmission system. We develop and analyze a numerical …

A New Variant of B‐Spline for the Solution of Modified Fractional Anomalous Subdiffusion Equation

MS Hashmi, Z Shehzad, A Ashraf… - Journal of Function …, 2021 - Wiley Online Library
The objective of this paper is to present an efficient numerical technique for solving time
fractional modified anomalous subdiffusion equation. Anomalous diffusion equation has its …

A computational procedure and analysis for multi‐term time‐fractional Burgers‐type equation

RK ASV, N Garg - Mathematical Methods in the Applied …, 2022 - Wiley Online Library
This paper presents a new numerical algorithm dealing with multi‐term time‐fractional
Burgers‐type equation involving the Caputo derivative. The proposed method consists of …

Numerical treatment and analysis for a class of time-fractional Burgers equations with the Dirichlet boundary conditions

ASVR Kanth, N Garg - International Journal of …, 2022 - inderscienceonline.com
This paper aims to study a class of time-fractional Burgers equations with the Dirichlet
boundary conditions in the Caputo sense. The Burgers equation occurs in the study of fluid …