[1] J.E. Akin, J. Count, On rational approximations to the inverse Laplace transform, SIAM J. Appl.
Math. 17 (1969) 1035–1040.
[2] S.T. Aleskerova, Solving a mixed problem with almost regular boundary condition by the contour
integral method, J. Math. Res. 9 (2017) 158–162.
[3] N.M. Aslanova, M. Bayramoglu, K.M. Aslanova, Eigenvalue problem associated with the fourth
order differential operator equation, Rocky Mt. J. Math. 48 (2018) 1763–1779.
[4] H. Haddadpour, An exact solution for variable coefficients fourth-order wave equation using the
Adomian method, Math. Comput. Model. 44 (2006) 1144–1152.
[5] M. Jahanshahi, R. Danaei, Analytical-numerical solution for a third order space-time conformable
fractional PDE with mixed derivative by spectral and asymptotic methods, Sahand Commun. Math.
Anal. 20 (2023) 81–93.
[6] M. Jahanshahi, N. Aliyev, F. Jahanshahi, Solving two initial-boundary value problems including
fractional partial differential equations by spectral and contour integral method, Azarbayjan J.
Math. 10 (2020) 31–47.
[7] M. Jahanshahi, N. Aliyev, F. Jahanshahi, Solving some initial-boundary value problems including
non-classical cases of heat equation by spectral and contour integral method, Int. J. Ind. Math. 9
(2017) 359–364.
[8] P.M. Jordan, P. Puri, G. Boros, A new class of Laplace inverses and their applications, Appl. Math.
Lett. 13 (2000) 97–104.
[9] M. L. Rasulov, Methods of Contour Integration, North-Holland Publishing Company, Amsterdam,
1967.
[10] A.Q.M. Khaliq, E.H. Twizell, A family of second order methods for variable coefficient fourth order
parabolic partial differential equations, Int. J. Comput. Math. 23 (1987) 63–76.
[11] X.Y. Liu, C.H. Lai, K.A. Pericleous, A fourth-order partial differential equation denoising model
with an adaptive relaxation method, Int. J. Comput. Math. 92 (2014) 608–622.
[12] K.S. Miller, Partial Differential Equations In Engineering Problems, Prentic-Hall, Inc, 1963.
[13] J.S.C. Roja, P. Comminos, A. Tamilselvan, Numerical method for singularly perturbed fourth order
ordinary differential equations of convection-diffusion type, J. Math. Model. 4 (2016) 79–102.
[14] J.L. Schiff, The Laplace Transform, Theory and Applications, Springer-Verlag, 1999.
[15] J. Shen, T. Tang, L. Wang, Spectral Methods: Algorithms, Analysis and Applications, Springer-
Verlag, 2011.
[16] A.M. Wazwaz, Exact solutions for variable cofficients fourth-order parabolic partial differential
equations in higher-dimensional spaces, Appl. Math. Comput.130 (2002) 415–424.
[17] A.M. Wazwaz , On the solution of the fourth order parabolic equation by the decomposition
method, Int. J. Comput. Math. 57 (1995) 213–217.
[18] L.H. You, P. Comminos, J.J. Zhang, Solid modelling with fourth-order partial differential equation,
Int. J. Comput. 4 (2008) 452–461.
)