Geodesic
A coupled unified difference method for numerical solution of the initial boundary value fourth order parabolic problems
Journal of computational and engineering mathematics, Tome 7 (2020) no. 4, pp. 35-47.

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In this article we proposed a coupled unified difference method for the numerical solution for the fourth order parabolic problems. To simplify the complexity of higher order differential term, we introduced an intermediate function and hence the higher order boundary value problem is transformed into an equivalent system of reduced order boundary value problems. We have discussed the convergence of the proposed method. Numerical experiments are performed to test and approve the efficiency, accuracy of the proposed method.
Keywords: convergence analysis, coupled approach, fourth order parabolic equation, initial boundary value problem, unified difference method. 
@article{JCEM_2020_7_4_a3,
     author = {P. K. Pandey},
     title = {A coupled unified difference method for numerical solution of the initial boundary value fourth order parabolic problems},
     journal = {Journal of computational and engineering mathematics},
     pages = {35--47},
     publisher = {mathdoc},
     volume = {7},
     number = {4},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JCEM_2020_7_4_a3/}
}
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P. K. Pandey. A coupled unified difference method for numerical solution of the initial boundary value fourth order parabolic problems. Journal of computational and engineering mathematics, Tome 7 (2020) no. 4, pp. 35-47. http://geodesic.mathdoc.fr/item/JCEM_2020_7_4_a3/