This paper is mainly concerned with developing and establishing the reduced-order
extrapolated format about the unknown coefficient vectors in numerical solutions to the finite …

In this paper, we mainly deal with the reduced-dimension of coefficient vectors of unknown
solutions for the Crank–Nicholson finite element (CNFE) method of the Sobolev equation …

This study is mainly concerned with the reduced-order extrapolating technique about the
unknown solution coefficient vectors in the Crank-Nicolson finite element (CNFE) method for …

In this article, we study the numerical technique for variable‐order fractional reaction‐
diffusion and subdiffusion equations that the fractional derivative is described in Caputo's …

This study presents numerical solution of time-fractional linear parabolic partial differential
equations (PDEs) using the Caputo finite difference scheme. The discretization process is …

This paper mainly focuses on the dimensionality reduction of unknown finite element (FE)
solution coefficient vectors in two-grid Crank-Nicolson FE (TGCNFE) method for the spatial …

Herein, we mainly resort to a proper orthogonal decomposition (POD) to study the
dimension reduction of unknown solution coefficient vectors in the two-grid Crank–Nicolson …

We here employ a proper orthogonal decomposition (POD) to reduce the dimensionality of
unknown coefficient vectors of finite element (FE) solutions for the fractional Tricomi-type …

Based on the proper orthogonal decomposition technique, a new reduced-order
discontinuous time stepping space-time finite element extrapolation iterative scheme is …

In this article, we mainly resort to a proper orthogonal decomposition (POD) method to
reduce the dimensionality of unknown mixed finite element (MFE) solution coefficient vectors …