Exponential Jacobi spectral method for hyperbolic partial differential equations

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Youssri y.h.; Hafez r.m.

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Journal Paper

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Journal: MATHEMATICAL SCIENCES Year:2019 | Volume:13 | Issue:4 Page(s): 347-354

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Title

Exponential Jacobi spectral method for hyperbolic partial differential equations

Author(s)

Youssri y.h. | Hafez r.m. | Issue Writer Certificate

Keywords

First-order partial differential equations

Exponential Jacobi functions

Operational matrix of differentiation

Heisenberg matrix

Convergence analysis

Abstract

Herein, we have proposed a scheme for numerically solving hyperbolic partial differential equations (HPDEs) with given initial conditions. The Operational matrix of differentiation for Exponential Jacobi functions was derived, and then a collocation method was used to transform the given HPDE into a linear system of equations. The preferences of using the exponential Jacobi spectral collocation method over other techniques were discussed. The convergence and error analyses were discussed in detail. The validity and accuracy of the proposed method are investigated and checked through numerical experiments.

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APA: Copy

Youssri, y.h., & Hafez, r.m.. (2019). Exponential Jacobi spectral method for hyperbolic partial differential equations. MATHEMATICAL SCIENCES, 13(4), 347-354. SID. https://sid.ir/paper/322753/en

Vancouver: Copy

Youssri y.h., Hafez r.m.. Exponential Jacobi spectral method for hyperbolic partial differential equations. MATHEMATICAL SCIENCES[Internet]. 2019;13(4):347-354. Available from: https://sid.ir/paper/322753/en

IEEE: Copy

y.h. Youssri, and r.m. Hafez, “Exponential Jacobi spectral method for hyperbolic partial differential equations,” MATHEMATICAL SCIENCES, vol. 13, no. 4, pp. 347–354, 2019, [Online]. Available: https://sid.ir/paper/322753/en

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