High accuracy implicit variable mesh methods for numerical study of special types of fourth order non-linear parabolic equations. - R. K. Mohanty 001; Deepti Kaur (Appl. Math. Comput., 2016)

A class of two-level implicit unconditionally stable methods for a fourth order parabolic equation. - R. K. Mohanty 001; Sean McKee; Deepti Kaur (Appl. Math. Comput., 2017)

High Accuracy Compact Operator Methods for Two-Dimensional Fourth Order Nonlinear Parabolic Partial Differential Equations. - Ranjan Kumar Mohanty; Deepti Kaur (Comput. Methods Appl. Math., 2017)

Numerov type variable mesh approximations for 1D unsteady quasi-linear biharmonic problem: application to Kuramoto-Sivashinsky equation. - R. K. Mohanty 001; Deepti Kaur (Numer. Algorithms, 2017)

A class of two- and three-level implicit methods of order two in time and four in space based on half-step discretization for two-dimensional fourth order quasi-linear parabolic equations. - R. K. Mohanty 001; Deepti Kaur; Swarn Singh (Appl. Math. Comput., 2019)

Highly accurate compact difference scheme for fourth order parabolic equation with Dirichlet and Neumann boundary conditions: Application to good Boussinesq equation. - Deepti Kaur; R. K. Mohanty 001 (Appl. Math. Comput., 2020)

High-order half-step compact numerical approximation for fourth-order parabolic PDEs. - Deepti Kaur; R. K. Mohanty 001 (Numer. Algorithms, 2024)