Reproducing Kernel Space Method for the Solution of Linear Fredholm Integro-Differential Equations and Analysis of Stability

被引：2
|
作者：
Lv, Xueqin [1 ]
Gao, Yue [1 ]
机构：
[1] Harbin Normal Univ, Sch Math Sci, Harbin 150025, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2012年
基金：
中国国家自然科学基金;
关键词：
HOMOTOPY PERTURBATION METHOD; NUMERICAL-SOLUTION; INTEGRAL-EQUATION;
D O I：
10.1155/2012/971593
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a numerical method to solve the linear Fredholm integro-differential equation in reproducing kernel space. A simple algorithm is given to obtain the approximate solutions of the equation. Through the comparison of approximate and true solution, we can find that the method can effectively solve the linear Fredholm integro-differential equation. At the same time the numerical solution of the equation is stable.
引用
收藏
页数：10
相关论文
共 50 条
  • [1] Solving Fredholm integro-differential equations using reproducing kernel Hilbert space method
    Abu Arqub, Omar
    Al-Smadi, Mohammed
    Shawagfeh, Nabil
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (17) : 8938 - 8948
  • [2] REPRODUCING KERNEL HILBERT SPACE METHOD FOR SOLVING FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER
    Bushnaq, Samia
    Maayah, Banan
    Ahmad, Morad
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2016, (36): : 307 - 318
  • [3] Reproducing kernel method for solving Fredholm integro-differential equations with weakly singularity
    Du, Hong
    Zhao, Guoliang
    Zhao, Chunyan
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 255 : 122 - 132
  • [4] Reproducing kernel Hilbert space method for high-order linear Fredholm integro-differential equations with variable coefficients
    Qiu, Renjun
    Xu, Ming
    Zhu, Pengfei
    APPLIED MATHEMATICS AND COMPUTATION, 2025, 489
  • [5] A generalized collocation method in reproducing kernel space for solving a weakly singular Fredholm integro-differential equations
    Zhang, Xiaoguang
    Du, Hong
    APPLIED NUMERICAL MATHEMATICS, 2020, 156 : 158 - 173
  • [6] Numerical solution of integro-differential equations of high-order Fredholm by the simplified reproducing kernel method
    Wang, Yu-Lan
    Liu, Yang
    Li, Zhi-yuan
    zhang, Hao-lu
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2019, 96 (03) : 585 - 593
  • [7] A wavelet method for the Fredholm integro-differential equations with convolution kernel
    Jin, XQ
    Sin, VK
    Yuan, JY
    JOURNAL OF COMPUTATIONAL MATHEMATICS, 1999, 17 (04) : 435 - 440
  • [8] A Reproducing Kernel Hilbert Space Method for Solving Integro-Differential Equations of Fractional Order
    Bushnaq, Samia
    Momani, Shaher
    Zhou, Yong
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2013, 156 (01) : 96 - 105
  • [9] A Reproducing Kernel Hilbert Space Method for Solving Integro-Differential Equations of Fractional Order
    Samia Bushnaq
    Shaher Momani
    Yong Zhou
    Journal of Optimization Theory and Applications, 2013, 156 : 96 - 105
  • [10] A Sinc–Collocation method for the linear Fredholm integro-differential equations
    Adel Mohsen
    Mohamed El-Gamel
    Zeitschrift für angewandte Mathematik und Physik, 2007, 58 : 380 - 390
12345