The non-local hyperbolic partial differential equations have many applications in sciences and engineering. A collocation finite element approach based on exponential cubic B-spline and quintic B-spline are presented for the numerical solution of the wave equation subject to nonlocal boundary condition. Von Neumann stability analysis is used to analyze the proposed methods. The efficiency, accuracy and stability of the methods are assessed by applying it to the test problem. The results are found to be in good agreement with known solutions and with existing collocation schemes in literature.
Karam Ali, K., Raslan Raslan, K., & Rashad Hadhoud, A. (2018). Numerical studies of non-local hyperbolic partial differential equations using collocation methods. Computational Methods for Differential Equations, 6(3), 326-338.
MLA
khalid Karam Ali; Kamal Raslan Raslan; Adel Rashad Hadhoud. "Numerical studies of non-local hyperbolic partial differential equations using collocation methods". Computational Methods for Differential Equations, 6, 3, 2018, 326-338.
HARVARD
Karam Ali, K., Raslan Raslan, K., Rashad Hadhoud, A. (2018). 'Numerical studies of non-local hyperbolic partial differential equations using collocation methods', Computational Methods for Differential Equations, 6(3), pp. 326-338.
VANCOUVER
Karam Ali, K., Raslan Raslan, K., Rashad Hadhoud, A. Numerical studies of non-local hyperbolic partial differential equations using collocation methods. Computational Methods for Differential Equations, 2018; 6(3): 326-338.
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