A numerical investigation of Caputo time fractional Allen-Cahn equation using redefined cubic B-spline functions
dc.contributor.author | Khalid, Nauman | |
dc.contributor.author | Abbas, Muhammad | |
dc.contributor.author | Iqbal, Muhammad Kashif | |
dc.contributor.author | Baleanu, Dumitru | |
dc.contributor.authorID | 56389 | tr_TR |
dc.date.accessioned | 2021-01-28T12:21:12Z | |
dc.date.available | 2021-01-28T12:21:12Z | |
dc.date.issued | 2020 | |
dc.department | Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.description.abstract | We present a collocation approach based on redefined cubic B-spline (RCBS) functions and finite difference formulation to study the approximate solution of time fractional Allen-Cahn equation (ACE). We discretize the time fractional derivative of order alpha is an element of (0,1] by using finite forward difference formula and bring RCBS functions into action for spatial discretization. We find that the numerical scheme is of order O(h2+Delta t2-alpha) and unconditionally stable. We test the computational efficiency of the proposed method through some numerical examples subject to homogeneous/nonhomogeneous boundary constraints. The simulation results show a superior agreement with the exact solution as compared to those found in the literature. | en_US |
dc.description.publishedMonth | 4 | |
dc.identifier.citation | Khalid, Nauman...et al. (2020). "A numerical investigation of Caputo time fractional Allen-Cahn equation using redefined cubic B-spline functions", Advances in Difference Equations, Vol. 2020, No. 1. | en_US |
dc.identifier.doi | 10.1186/s13662-020-02616-x | |
dc.identifier.issn | 1687-1847 | |
dc.identifier.issue | 1 | en_US |
dc.identifier.uri | http://hdl.handle.net/20.500.12416/4490 | |
dc.identifier.volume | 2020 | en_US |
dc.language.iso | en | en_US |
dc.relation.ispartof | Advances in Difference Equations | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Redefined Cubic B-Spline Functions | en_US |
dc.subject | Time Fractional Allen-Cahn Equation | en_US |
dc.subject | Caputo's Time Fractional Derivative | en_US |
dc.subject | Stability and Convergence | en_US |
dc.subject | Finite Difference Formulation | en_US |
dc.title | A numerical investigation of Caputo time fractional Allen-Cahn equation using redefined cubic B-spline functions | tr_TR |
dc.title | A Numerical Investigation of Caputo Time Fractional Allen-Cahn Equation Using Redefined Cubic B-Spline Functions | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication |