NUMERICAL STUDIES OF NON-LOCAL HYPERBOLIC PARTIAL DIERENTIAL EQUATIONS USING COLLOCATION METHODS

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KARAM ALI KHALID; RASLAN KAMAL RASLAN; HADHOUD ADEL RASHAD

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Journal Paper

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Journal: Computational Methods for Differential Equations Year:2018 | Volume:6 | Issue:3 Page(s): 326-338

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Title

NUMERICAL STUDIES OF NON-LOCAL HYPERBOLIC PARTIAL DIERENTIAL EQUATIONS USING COLLOCATION METHODS

Author(s)

KARAM ALI KHALID | RASLAN KAMAL RASLAN | HADHOUD ADEL RASHAD | Issue Writer Certificate

Keywords

COLLOCATION METHODS

EXPONENTIAL CUBIC B-SPLINE

QUINTIC B-SPLINE

FINITE DIERENCE

WAVE EQUATION

Abstract

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.

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APA: Copy

KARAM ALI, KHALID, & RASLAN, KAMAL RASLAN. (). . , (), -. SID. https://sid.ir/paper/345662/en

Vancouver: Copy

KARAM ALI KHALID, RASLAN KAMAL RASLAN. . [Internet]. ;():-. Available from: https://sid.ir/paper/345662/en

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