Haar wavelet method for some nonlinear Volterra integral equations of the first kind

Singh Inderdeep; Kumar Sheo

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Haar wavelet method for some nonlinear Volterra integral equations of the first kind

机译：第一类非线性Volterra积分方程的Haar小波方法

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摘要

We present here a simple efficient Haar wavelet method for numerical solution of a class of nonlinear Volterra integral equations of the first kind. The present method is based on converting nonlinear Volterra integral equations of the first kind into linear Volterra integral equations of the second kind. Numerical examples are given to illustrate efficiency and accuracy of the present method. Comparison with numerical methods in the past has also been done. (C) 2015 Elsevier B.V. All rights reserved.

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《Journal of Computational and Applied Mathematics》 |2016年第null期|共12页
作者
Singh Inderdeep; Kumar Sheo;
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正文语种 eng
中图分类计算数学;应用数学;
关键词
Nonlinear Volterra integral equation; Haar wavelet; Operational matrix;

机译：非线性Volterra积分方程Haar小波操作矩阵;

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专利

1. Haar wavelet method for some nonlinear Volterra integral equations of the first kind [J] . Singh Inderdeep, Kumar Sheo Journal of Computational and Applied Mathematics . 2016,第Null期

机译：第一类非线性Volterra积分方程的Haar小波方法
2. Haar wavelet method to solve Volterra integral equations with weakly singular kernel by collocation method [J] . A. Shahsavaran Applied mathematical sciences . 2011,第65a68期

机译：搭配法求解具有奇异核的Volterra积分方程的Haar小波方法
3. The use of rationalized Haar wavelet collocation method for solving optimal control of Volterra integral equations [J] . Maleknejad Khosrow, Ebrahimzadeh Asyieh Journal of vibration and control: JVC . 2015,第10期

机译：使用合理化的Haar小波搭配方法求解Volterra积分方程的最优控制
4. Numerical solution of two-dimensional nonlinear Hammerstein fuzzy functional integral equations based on fuzzy Haar wavelets [C] . Svetoslav Enkov, Atanaska Georgieva International Conference Applications of Mathematics in Engineering and Economics . 2017

机译：基于模糊HAAR小波的二维非线性Hammerstein模糊功能整体方程的数值解
5. Applications of Nonlinear Systems of Ordinary Differential Equations and Volterra Integral Equations to Infectious Disease Epidemiology. [D] . Morale Butler, Emmanuel J. 2014

机译：常微分方程和Volterra积分方程的非线性系统在传染病流行病学中的应用。
6. Efficient numerical technique for solution of delay Volterra-Fredholm integral equations using Haar wavelet [O] . Rohul Amin, Kamal Shah, Muhammad Asif, 2020

机译：哈尔小波延迟Volterra-Fredholm整体方程的高效数值技术
7. Numerical solution of nonlinear stochastic Itô–Volterra integral equations based on Haar wavelets [O] . Jieheng Wu, Guo Jiang, Xiaoyan Sang 2019

机译：基于HAAR小波的非线性随机ITô-Volterra积分方程的数值解

Haar wavelet method for some nonlinear Volterra integral equations of the first kind

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