Fasto(n)hybrid method for the solution of two dimensional time fractional cable equation

Fouad Mohammad Salama; Norhashidah Hj Mohd Ali

doi:10.6084/ijact.v8i11.1014

Fasto(n)hybrid method for the solution of two dimensional time fractional cable equation

Fouad Mohammad Salama^*, Norhashidah Hj Mohd Ali

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

It is the time and memory consuming when numerically solving time fractional differential equations as it requires (²) computational cost and () memory complexity. and are the total number of time levels and space grid points, respectively. In this paper, we present an efficient hybrid method with () computational cost and () memory complexity in solving the two-dimensional time fractional cable equation. The Laplace transform method and implicit finite difference scheme are used to derive the hybrid method. The stability of the numerical scheme has been carried out. Numerical results show that the hybrid method compares well with the exact solution and performs faster compared to a standard finite difference scheme.

Original language	English
Pages (from-to)	3453-3461
Number of pages	9
Journal	Compusoft
Volume	8
Issue number	11
DOIs	https://doi.org/10.6084/ijact.v8i11.1014
State	Published - 2019
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2019 National Institute of Science Communication and Information Resources (NISCAIR).

Keywords

Caputo fractional derivative
Finite difference scheme
Fractional cable equation
Laplace transform
Stability

ASJC Scopus subject areas

General Computer Science

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10.6084/ijact.v8i11.1014

Cite this

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title = "Fasto(n)hybrid method for the solution of two dimensional time fractional cable equation",

abstract = "It is the time and memory consuming when numerically solving time fractional differential equations as it requires (2) computational cost and () memory complexity. and are the total number of time levels and space grid points, respectively. In this paper, we present an efficient hybrid method with () computational cost and () memory complexity in solving the two-dimensional time fractional cable equation. The Laplace transform method and implicit finite difference scheme are used to derive the hybrid method. The stability of the numerical scheme has been carried out. Numerical results show that the hybrid method compares well with the exact solution and performs faster compared to a standard finite difference scheme.",

keywords = "Caputo fractional derivative, Finite difference scheme, Fractional cable equation, Laplace transform, Stability",

author = "Salama, \{Fouad Mohammad\} and Ali, \{Norhashidah Hj Mohd\}",

note = "Publisher Copyright: {\textcopyright} 2019 National Institute of Science Communication and Information Resources (NISCAIR).",

year = "2019",

doi = "10.6084/ijact.v8i11.1014",

language = "English",

volume = "8",

pages = "3453--3461",

journal = "Compusoft",

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}

TY - JOUR

T1 - Fasto(n)hybrid method for the solution of two dimensional time fractional cable equation

AU - Salama, Fouad Mohammad

AU - Ali, Norhashidah Hj Mohd

PY - 2019

Y1 - 2019

N2 - It is the time and memory consuming when numerically solving time fractional differential equations as it requires (2) computational cost and () memory complexity. and are the total number of time levels and space grid points, respectively. In this paper, we present an efficient hybrid method with () computational cost and () memory complexity in solving the two-dimensional time fractional cable equation. The Laplace transform method and implicit finite difference scheme are used to derive the hybrid method. The stability of the numerical scheme has been carried out. Numerical results show that the hybrid method compares well with the exact solution and performs faster compared to a standard finite difference scheme.

AB - It is the time and memory consuming when numerically solving time fractional differential equations as it requires (2) computational cost and () memory complexity. and are the total number of time levels and space grid points, respectively. In this paper, we present an efficient hybrid method with () computational cost and () memory complexity in solving the two-dimensional time fractional cable equation. The Laplace transform method and implicit finite difference scheme are used to derive the hybrid method. The stability of the numerical scheme has been carried out. Numerical results show that the hybrid method compares well with the exact solution and performs faster compared to a standard finite difference scheme.

KW - Caputo fractional derivative

KW - Finite difference scheme

KW - Fractional cable equation

KW - Laplace transform

KW - Stability

UR - https://www.scopus.com/pages/publications/85076617784

U2 - 10.6084/ijact.v8i11.1014

DO - 10.6084/ijact.v8i11.1014

M3 - Article

AN - SCOPUS:85076617784

SN - 2320-0790

VL - 8

SP - 3453

EP - 3461

JO - Compusoft

JF - Compusoft

IS - 11

ER -

Fasto(n)hybrid method for the solution of two dimensional time fractional cable equation

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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