TY - JOUR
ID - 6251
TI - Investigation and solving of initial-boundary value problem including fourth order PDE by contour integral and asymptotic methods
JO - Journal of Mathematical Modeling
JA - JMM
LA - en
SN - 2345-394X
AU - Danaei, Reza
AU - Jahanshahi, Mohammad
AD - Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran
Y1 - 2023
PY - 2023
VL - 11
IS - 2
SP - 245
EP - 255
KW - Asymptotic method
KW - Laplace line
KW - Eigenvalues
KW - Contour integral
DO - 10.22124/jmm.2023.23209.2069
N2 - 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.
UR - https://jmm.guilan.ac.ir/article_6251.html
L1 - https://jmm.guilan.ac.ir/article_6251_f117c9029c5f3eac4a8c6d6dbd20115d.pdf
ER -