This paper deals with a class of Bratu's type, Troesch's and nonlocal elliptic boundary value
problems. Due to strong nonlinearity and presence of parameter δ, it is very difficult to solve …

This paper deals with a class of Bratu's type, Troesch's, and nonlocal elliptic boundary value
problems arising in the heat transfer process. Due to the strong nonlinearity and presence of …

In this research, a mixed spectral collocation method based on Kronecker product is
proposed for solving initial-boundary value problems. New implementation is suggested to …

The problem of solving several types of one‐dimensional parabolic partial differential
equations (PDEs) subject to the given initial and nonlocal boundary conditions is …

We propose a simple and efficient method for solving highly nonlinear systems of boundary
layer flow problems with exponentially decaying profiles. The algorithm of the proposed …

A numerical method based on Chebyshev polynomials and local interpolating functions is
proposed for solving the one-dimensional parabolic partial differential equation subject to …

The main purpose of this paper is to construct and analyze a spectral collocation method for
solving a general class of nonlinear systems of multi-dimensional integral equations. In …

In this paper, we propose a pseudospectral method for solving the Thomas–Fermi equation
which is a nonlinear singular ordinary differential equation on a semi-infinite interval. This …

In this paper, the Legendre spectral collocation method (LSCM) is applied for the solution of
the fractional Bratu's equation. It shows the high accuracy and low computational cost of the …

In this study, we use the spectral collocation method with preconditioning to solve various
nonlinear Schrödinger equations. To reduce round-off error in spectral collocation method …