Investigation and solving of initial-boundary value problem including fourth order PDE by contour integral and asymptotic methods
Publish place: Journal of Mathematical Modeling، Vol: 11، Issue: 2
Publish Year: 1402
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JMMO-11-2_003
تاریخ نمایه سازی: 19 خرداد 1403
Abstract:
In this paper, we consider a fourth order mixed partial differential equation with some initial and boundary conditions which is unsolvable by classical methods such as Fourier, Fourier-Bircove and Laplace Transformation methods. For this problem we will apply the contour integral and asymptotic methods. The convergence of the appeared integrals, existence and uniqueness of solution, satisfying the solution and holding the given initial and boundary conditions are stablished by complex analysis theory and related contour integrals. Finally, the form of analytic and approximate solutions are given due to different cases of eigenvalues distributions in the complex plane.
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Authors
Reza Danaei
Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran
Mohammad Jahanshahi
Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran