On Unconditionally Stable New Modified Fractional Group Iterative Scheme for the Solution of 2D Time-Fractional Telegraph Model

In this study, a new modified group iterative scheme for solving the two-dimensional (2D) fractional hyperbolic telegraph differential equation with Dirichlet boundary conditions is obtained from the <i>2h</i>-spaced standard and rotated Crank–Nicolson FD approximations. The findings of...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Ajmal Ali, Thabet Abdeljawad, Azhar Iqbal, Tayyaba Akram, Muhammad Abbas
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	Caputo’s fractional derivative standard and rotated schemes fractional telegraph equation modified group iterative method matrix norm Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/61c811ef1861483f868ea380fbb344b9
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:61c811ef1861483f868ea380fbb344b9
record_format	dspace
spelling	oai:doaj.org-article:61c811ef1861483f868ea380fbb344b92021-11-25T19:06:33ZOn Unconditionally Stable New Modified Fractional Group Iterative Scheme for the Solution of 2D Time-Fractional Telegraph Model10.3390/sym131120782073-8994https://doaj.org/article/61c811ef1861483f868ea380fbb344b92021-11-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2078https://doaj.org/toc/2073-8994In this study, a new modified group iterative scheme for solving the two-dimensional (2D) fractional hyperbolic telegraph differential equation with Dirichlet boundary conditions is obtained from the <i>2h</i>-spaced standard and rotated Crank–Nicolson FD approximations. The findings of new four-point modified explicit group relaxation method demonstrates the rapid rate of convergence of proposed method as compared to the existing schemes. Numerical tests are performed to test the capability of the group iterative scheme in comparison with the point iterative scheme counterparts. The stability of the derived modified group method is proven by the matrix norm algorithm. The obtained results are tabulated and concluded that exact solutions are exactly symmetric with approximate solutions.Ajmal AliThabet AbdeljawadAzhar IqbalTayyaba AkramMuhammad AbbasMDPI AGarticleCaputo’s fractional derivativestandard and rotated schemesfractional telegraph equationmodified group iterative methodmatrix normMathematicsQA1-939ENSymmetry, Vol 13, Iss 2078, p 2078 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Caputo’s fractional derivative standard and rotated schemes fractional telegraph equation modified group iterative method matrix norm Mathematics QA1-939
spellingShingle	Caputo’s fractional derivative standard and rotated schemes fractional telegraph equation modified group iterative method matrix norm Mathematics QA1-939 Ajmal Ali Thabet Abdeljawad Azhar Iqbal Tayyaba Akram Muhammad Abbas On Unconditionally Stable New Modified Fractional Group Iterative Scheme for the Solution of 2D Time-Fractional Telegraph Model
description	In this study, a new modified group iterative scheme for solving the two-dimensional (2D) fractional hyperbolic telegraph differential equation with Dirichlet boundary conditions is obtained from the <i>2h</i>-spaced standard and rotated Crank–Nicolson FD approximations. The findings of new four-point modified explicit group relaxation method demonstrates the rapid rate of convergence of proposed method as compared to the existing schemes. Numerical tests are performed to test the capability of the group iterative scheme in comparison with the point iterative scheme counterparts. The stability of the derived modified group method is proven by the matrix norm algorithm. The obtained results are tabulated and concluded that exact solutions are exactly symmetric with approximate solutions.
format	article
author	Ajmal Ali Thabet Abdeljawad Azhar Iqbal Tayyaba Akram Muhammad Abbas
author_facet	Ajmal Ali Thabet Abdeljawad Azhar Iqbal Tayyaba Akram Muhammad Abbas
author_sort	Ajmal Ali
title	On Unconditionally Stable New Modified Fractional Group Iterative Scheme for the Solution of 2D Time-Fractional Telegraph Model
title_short	On Unconditionally Stable New Modified Fractional Group Iterative Scheme for the Solution of 2D Time-Fractional Telegraph Model
title_full	On Unconditionally Stable New Modified Fractional Group Iterative Scheme for the Solution of 2D Time-Fractional Telegraph Model
title_fullStr	On Unconditionally Stable New Modified Fractional Group Iterative Scheme for the Solution of 2D Time-Fractional Telegraph Model
title_full_unstemmed	On Unconditionally Stable New Modified Fractional Group Iterative Scheme for the Solution of 2D Time-Fractional Telegraph Model
title_sort	on unconditionally stable new modified fractional group iterative scheme for the solution of 2d time-fractional telegraph model
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/61c811ef1861483f868ea380fbb344b9
work_keys_str_mv	AT ajmalali onunconditionallystablenewmodifiedfractionalgroupiterativeschemeforthesolutionof2dtimefractionaltelegraphmodel AT thabetabdeljawad onunconditionallystablenewmodifiedfractionalgroupiterativeschemeforthesolutionof2dtimefractionaltelegraphmodel AT azhariqbal onunconditionallystablenewmodifiedfractionalgroupiterativeschemeforthesolutionof2dtimefractionaltelegraphmodel AT tayyabaakram onunconditionallystablenewmodifiedfractionalgroupiterativeschemeforthesolutionof2dtimefractionaltelegraphmodel AT muhammadabbas onunconditionallystablenewmodifiedfractionalgroupiterativeschemeforthesolutionof2dtimefractionaltelegraphmodel
_version_	1718410281082683392

On Unconditionally Stable New Modified Fractional Group Iterative Scheme for the Solution of 2D Time-Fractional Telegraph Model

Ejemplares similares