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International Journal of Computer Mathematics Volume 95, 2018 - Issue 8
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Original Articles

Using reproducing kernel for solving a class of time-fractional telegraph equation with initial value conditions

Yu-Lan WangSchool of Science, Shandong University of Technology, Zibo, China;Department of Mathematics, Inner Mongolia University of Technology, Hohhot, ChinaView further author information
,
Ming-Jing DuDepartment of Mathematics, Inner Mongolia University of Technology, Hohhot, China;Institute of Computer Information Management, Inner Mongolia University of Finance and Economics, Hohhot, ChinaCorrespondence[email protected]
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,
Chao-Lu TemuerDepartment of Mathematics, Inner Mongolia University of Technology, Hohhot, China;Department of Mathematics, Shanghai Maritime University, Shanghai, ChinaCorrespondence[email protected]
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&
Dan TianDepartment of Mathematics, Inner Mongolia University of Technology, Hohhot, ChinaView further author information
Pages 1609-1621 | Received 03 Dec 2016, Accepted 09 Apr 2017, Published online: 22 May 2017

Citations (11)

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Kholoud Saad Albalawi, Rachana Shokhanda & Pranay Goswami. (2023) On the solution of generalized time-fractional telegraphic equation. Applied Mathematics in Science and Engineering 31:1.
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Articles from other publishers (10)

Jian Huang, Zhongdi Cen & Aimin Xu. (2022) An efficient numerical method for a time-fractional telegraph equation. Mathematical Biosciences and Engineering 19:5, pages 4672-4689.
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Ömür Kıvanç KÜRKÇÜ. (2021) A novel numerical implementation for solving time fractional telegraph differential equations having multiple space and time delays via Delannoy polynomial. MANAS Journal of Engineering 9:Special 1, pages 82-96.
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Mehmet Giyas Sakar & Onur Saldır. (2020) A New Reproducing Kernel Approach for Nonlinear Fractional Three-Point Boundary Value Problems. Fractal and Fractional 4:4, pages 53.
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X.Y. Li & B.Y. Wu. (2020) A new kernel functions based approach for solving 1-D interface problems. Applied Mathematics and Computation 380, pages 125276.
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Muhammad Yaseen & Muhammad Abbas. (2020) An efficient cubic trigonometric B-spline collocation scheme for the time-fractional telegraph equation. Applied Mathematics-A Journal of Chinese Universities 35:3, pages 359-378.
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Tayyaba Akram, Muhammad Abbas, Azhar Iqbal, Dumitru Baleanu & Jihad H. Asad. (2020) Novel Numerical Approach Based on Modified Extended Cubic B-Spline Functions for Solving Non-Linear Time-Fractional Telegraph Equation. Symmetry 12:7, pages 1154.
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Tayyaba Akram, Muhammad Abbas, Ahmad Izani Ismail, Norhashidah Hj. M. Ali & Dumitru Baleanu. (2019) Extended cubic B-splines in the numerical solution of time fractional telegraph equation. Advances in Difference Equations 2019:1.
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Mingjing Du, Xiaohua Qiao, Biao Wang, Yulan Wang & Bo Gao. (2019) A novel method for numerical simulation of sand motion model in beach formation based on fractional Taylor–Jumarie series expansion and piecewise interpolation technique. Applied Mathematics and Computation 347, pages 15-21.
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Ali Akgül, Esra Karatas Akgül, Dumitru Baleanu & Mustafa Inc. (2018) New Numerical Method for Solving Tenth Order Boundary Value Problems. Mathematics 6:11, pages 245.
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Ming-Jing Du, Yu-Lan Wang, Chao-Lu Temuer & Dan Tian. (2017) A modified reproducing kernel method for solving Burgers’ equation arising from diffusive waves in fluid dynamics. Applied Mathematics and Computation 315, pages 500-506.
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