College of Civil Engineering and Mechanics, Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan, China. Many phenomena in engineering physics, ...

The aim of this study is to give a Legendre polynomial approximation for the solution of the second order linear hyper-bolic partial differential equations (HPDEs) with two variables and constant ...

Gutshabash E. Sh. Legendre transformation in Born–Infeld models, Monge–Ampere equation and exact solutions. Exact solutions of the equation obtained by applying the Legendre transformation to the Born ...

Abstract: Based on analyzing the properties of Legendre wavelets, the extended Legendre wavelets, defined on interval (-r, r), is achieved and its properties are considered. According to the ...

Abstract: In this paper we consider a kind of polynomials-Legendre polynomials then we get Legendre wavelet. Legendre wavelet operational matrix of the fractional integration is derived and combined ...