In this paper, a physics-informed recurrent neural network (PIRNN) is proposed to solve time-
dependent partial differential equations (PDEs), which devices LSTM cells to ensure the …

In this paper, we develop a fourth-order compact finite difference method to numerically
solve a fourth-order parabolic differential equation that governs the transverse displacement …

This paper presents a difference scheme by considering cubic B-spline quasi-interpolation
for the numerical solution of a fourth-order time-fractional integro-differential equation with a …

Parametric level set method (PLSM) using interpolation method, such as radial basis
function (RBF) interpolation, exposes high computational cost and poor stability when …

In this paper, a quasi-interpolation method is proposed for solving hyperbolic conservation
laws based on the essentially non-oscillatory (ENO) scheme. The hyperbolic equation is …

This paper presents an approximate solution of 3D convection diffusion equation (CDE)
using DQM based on modified cubic trigonometric B-spline (CTB) basis functions. The DQM …

This paper introduces a cubic B-spline quasi-interpolation (CBSQI) technique for addressing
the nonlinear hyperbolic sine-Gordon equation, which holds significant relevance in fields …

In this paper, a θ-finite difference scheme based on cubic B-spline quasi-interpolation has
been derived for the solution of time fractional Cattaneo equation. The fractional derivative of …