In this paper, a new matrix approach for solving second order linear partial differential
equations (PDEs) under given initial conditions has been proposed. The basic idea includes …

This paper proposes a multi-step iterative method for solving systems of nonlinear equations
with a local convergence order of 3 m− 4, where m (≥ 2) is the number of steps. The multi …

We present in this paper a new method based on Bernoulli matrix polynomials to
approximate the exponential of a matrix. The developed method has given rise to two new …

This paper proposes a method based on two-dimensional Euler polynomials combined with
Gauss-Jacobi quadrature formula. The method is used to solve two-dimensional Volterra …

We propose a numerical scheme to obtain an approximate solution of a boundary value
problem for fourth order nonlinear integro-differential equation of Kirchhoff type. We first …

This paper presents a computational approach for solving a class of nonlinear Volterra
integro‐differential equations of fractional order which is based on the Bernoulli polynomials …

We present a novel, high-order, efficient, and exponentially convergent shifted Gegenbauer
integral pseudo-spectral method (SGIPSM) to solve numerically Lane–Emden equations …

Aim: This study aimed to investigate the polymorphisms in genes related to meat production,
including growth hormone receptor (GHR) and diacylglycerol acyltransferase 1 (DGAT1) …

A collocation method based on Bernoulli polynomial is developed to compute the
eigenvalues and eigenfunctions of some known fourth-order Sturm-Liouville problems …

In this work we present a fast and accurate numerical approach for the higher-order
boundary value problems via Bernoulli collocation method. Properties of Bernoulli …