Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Lie-Jun Xie"'
Publikováno v:
Mathematics, Vol 7, Iss 4, p 377 (2019)
In this work, we applied the improved differential transform method to find the solutions of the systems of equations of Lane-Emden type arising in various physical models. With our proposed scheme, the desired solutions take the form of a convergent
Externí odkaz:
https://doaj.org/article/21db4dff919640ef84f4e429ba570df3
Autor:
Lie-jun Xie
Publikováno v:
Journal of Applied Mathematics, Vol 2013 (2013)
We propose a new modification of the Adomian decomposition method for Volterra integral equations of the second kind. By the Taylor expansion of the components apart from the zeroth term of the Adomian series solution, this new technology overcomes t
Externí odkaz:
https://doaj.org/article/e27374134503457fbd55c5ee4f7226dd
Autor:
Lie-Jun Xie1 xieliejun@nbu.edu.cn
Publikováno v:
Engineering Letters. Dec2023, Vol. 31 Issue 4, p1798-1803. 6p.
Autor:
Lie-jun Xie
Publikováno v:
IEEE Signal Processing Letters. 30:21-25
Publikováno v:
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences. 91:475-486
In this work, a new computational approach is proposed to solve the linear Fredholm integro-differential-difference equations with variable coefficients under the mixed conditions. This method yields the solution of the governing equation with the fo
Publikováno v:
Applied Mathematics and Computation. 321:255-266
In this work, an efficient computational method is proposed for solving the linear multi-point boundary value problems (MBVPs). Our approach depends mainly on of the least squares approximation method, the Lagrange-multiplier method and the residual
Publikováno v:
Computational and Applied Mathematics. 37:1756-1783
In this study, a new computational approach is presented to solve the generalized pantograph-delay differential equations (PDDEs). The solutions obtained by our scheme represent by a linear combination of a special kind of basis functions, and can be
Publikováno v:
International Journal of Computer Mathematics. 93:981-994
In this work, an efficient algorithm based on the differential transform method is applied to solve the multi-point boundary value problems. The solution obtained by using the proposed method takes the form of a convergent series with easily computab
Publikováno v:
SpringerPlus
In this work, an effective numerical method is developed to solve a class of singular boundary value problems arising in various physical models by using the improved differential transform method (IDTM). The IDTM applies the Adomian polynomials to h