Linearly compact scheme for 2D Sobolev equation with Burgers’ type nonlinearity

Author:

Zhang QifengORCID,Qin Yifan,Sun Zhi-zhong

Funder

Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference47 articles.

1. Ewing, R.E.: Time-stepping Galerkin methods for nonlinear Sobolev partial differential equations. SIAM J. Numer. Anal. 15(6), 1125–1150 (1978)

2. Pany, A.K., Bajpai, S., Mishra, S.: Finite element Galerkin method for 2D Sobolev equations with Burgers’ type nonlinearity. Appl. Math. Comput. 387(15), 125113 (2020)

3. Cao, X., Pop, I.S.: Uniqueness of weak solutions for a pseudo-parabolic equation modeling two phase flow in porous media. Appl. Math. Lett. 46, 25–30 (2015)

4. Shi, D.M.: On the initial boundary value problem of nonlinear the equation of the migration of the moisture in soil. Acta. Math. Appl. Sin. 13(1), 31–38 (1990)

5. Böhm, M., Showalter, R.E.: A nonlinear pseudoparabolic diffusion equation. SIAM J. Math. Anal. 16, 980–999 (1985)

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