A5065010814- Fractional Differential Equations Solutions
- Differential Equations and Numerical Methods
- Numerical methods for differential equations
- Numerical methods in engineering
- Differential Equations and Boundary Problems
- Iterative Methods for Nonlinear Equations
- Electromagnetic Scattering and Analysis
- Nonlinear Differential Equations Analysis
- Mathematical functions and polynomials
Harbin Normal University
2006-2023
Harbin Institute of Technology
2006-2008
In this article, an iterative method is proposed for solving nonlinear hyperbolic telegraph equation with integral condition. Its exact solution represented in the form of series reproducing kernel space. mean time, n-term approximation un(x, t) u(x, obtained and proved to converge solution. Moreover, partial derivatives are also convergent t). Some numerical examples have been studied demonstrate accuracy present method. Results by compared each example found be good agreement other. © 2010...
In this paper, a nonlinear hyperbolic telegraph equation with an integral condition is investigated. The method based on the reproducing kernel space. Results obtained by have been compared exact solution of each example and are found to be in good agreement other. Copyright © 2010 John Wiley & Sons, Ltd.
An iterative algorithm is proposed for solving the solution of a nonlinear fourth-order differential equation with integral boundary conditions. Its approximate solution<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>x</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:math>is represented in reproducing kernel space. It proved...