7 papers
An unconditionally stable space-time isogeometric method for a biharmonic wave equation
S. Chauhan, S. Chaudhary
This work presents a space-time isogeometric analysis of biharmonic wave problem, in contrast to the more common application of space-time methods to second order wave equations. W…
Space-time isogeometric method for a linear fourth order time dependent problem
Shreya Chauhan, Sudhakar Chaudhary
This article focuses on the space-time isogeometric method for a linear time dependent fourth order problem. Using an auxiliary variable, first the problem is split into a system o…
Space-Time Isogeometric Method for a Nonlocal Parabolic Problem
Sudhakar Chaudhary, Shreya Chauhan, Monica Montardini
In the present work, we focus on the space-time isogeometric discretization of a parabolic problem with a nonlocal diffusion coefficient. The existence and uniqueness of the soluti…
Mesh-free mixed finite element approximation for nonlinear time-fractional biharmonic problem using weighted b-splines
Jitesh P. Mandaliya, Dileep Kumar, Sudhakar Chaudhary
In this article, we propose a fully-discrete scheme for the numerical solution of a nonlinear time-fractional biharmonic problem. This problem is first converted into an equivalent…
Symmetric fractional order reduction method with scheme on graded mesh for time fractional nonlocal diffusion-wave equation of Kirchhoff type
Pari J. Kundaliya, Sudhakar Chaudhary
In this article, we propose a linearized fully-discrete scheme for solving a time fractional nonlocal diffusion-wave equation of Kirchhoff type. The scheme is established by using…
L1 scheme on graded mesh for subdiffusion equation with nonlocal diffusion term
Sudhakar Chaudhary, Pari J. Kundaliya
The solution of time fractional partial differential equations in general exhibit a weak singularity near the initial time. In this article we propose a method for solving time fra…
Fractional Crank-Nicolson-Galerkin Finite Element Scheme for the Time-Fractional Nonlinear Diffusion Equation
Dileep Kumar, Sudhakar Chaudhary, V. V. K Srinivas Kumar
This article presents a finite element scheme with Newton's method for solving the time-fractional nonlinear diffusion equation. For time discretization, we use the fractional Cran…