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## New collocation scheme for solving fractional partial differential equations

#### Chang PHANG [1] , Afshan KANWAL [2] , Jian Rong LOH [3]

This article concerned about the numerical solution of time fractional partial differential equations (FPDEs). The proposed technique is using shifted Chebyshev-Gauss-Lobatto (CGL) collocation points in conjunction with an operational matrix of Caputo sense derivatives via Genocchi polynomials. The system of linear algebraic equations is obtained when the main equation along with the initial as well as boundary conditions is collocated by using shifted CGL collocation points. The main approach to this method is to transform the FPDEs to system of algebraic equations, hence, greatly simplify the numerical scheme. Comparison of the obtained results with the existing methods depicts that the suggested method is highly effect, more efficient and have less computational work. Some examples are given to illustrate the effectiveness and applicability of the proposed technique.
Collocation method, shifted Chebyshev Gauss Lobatto, fractional partial differential equations, operational matrix
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Primary Language en Mathematics Mathematics Orcid: 0000-0002-0291-3327Author: Chang PHANG (Primary Author)Institution: Universiti Tun Hussein Onn MalaysiaCountry: Malaysia Orcid: 0000-0001-7062-7624Author: Afshan KANWAL Institution: Universiti Tun Hussein Onn MalaysiaCountry: Malaysia Orcid: 0000-0002-3875-6546Author: Jian Rong LOH Institution: Universiti Tun Hussein Onn MalaysiaCountry: Malaysia Publication Date : June 2, 2020
 Bibtex @research article { hujms459621, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {}, publisher = {Hacettepe University}, year = {2020}, volume = {49}, pages = {1107 - 1125}, doi = {10.15672/hujms.459621}, title = {New collocation scheme for solving fractional partial differential equations}, key = {cite}, author = {Phang, Chang and Kanwal, Afshan and Loh, Jian Rong} } APA Phang, C , Kanwal, A , Loh, J . (2020). New collocation scheme for solving fractional partial differential equations . Hacettepe Journal of Mathematics and Statistics , 49 (3) , 1107-1125 . DOI: 10.15672/hujms.459621 MLA Phang, C , Kanwal, A , Loh, J . "New collocation scheme for solving fractional partial differential equations" . Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 1107-1125 Chicago Phang, C , Kanwal, A , Loh, J . "New collocation scheme for solving fractional partial differential equations". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 1107-1125 RIS TY - JOUR T1 - New collocation scheme for solving fractional partial differential equations AU - Chang Phang , Afshan Kanwal , Jian Rong Loh Y1 - 2020 PY - 2020 N1 - doi: 10.15672/hujms.459621 DO - 10.15672/hujms.459621 T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 1107 EP - 1125 VL - 49 IS - 3 SN - 2651-477X-2651-477X M3 - doi: 10.15672/hujms.459621 UR - https://doi.org/10.15672/hujms.459621 Y2 - 2019 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics New collocation scheme for solving fractional partial differential equations %A Chang Phang , Afshan Kanwal , Jian Rong Loh %T New collocation scheme for solving fractional partial differential equations %D 2020 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 49 %N 3 %R doi: 10.15672/hujms.459621 %U 10.15672/hujms.459621 ISNAD Phang, Chang , Kanwal, Afshan , Loh, Jian Rong . "New collocation scheme for solving fractional partial differential equations". Hacettepe Journal of Mathematics and Statistics 49 / 3 (June 2020): 1107-1125 . https://doi.org/10.15672/hujms.459621 AMA Phang C , Kanwal A , Loh J . New collocation scheme for solving fractional partial differential equations. Hacettepe Journal of Mathematics and Statistics. 2020; 49(3): 1107-1125. Vancouver Phang C , Kanwal A , Loh J . New collocation scheme for solving fractional partial differential equations. Hacettepe Journal of Mathematics and Statistics. 2020; 49(3): 1107-1125.

Authors of the Article
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