APPROXIMATE SYMMETRIES, CONSERVATION LAWS AND NUMERICAL SOLUTIONS FOR A CLASS OF PERTURBED LINEAR WAVE TYPE SYSTEM

S. Reza Hejazi; Soleiman hosseinpour; ELham Lashkarian

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APPROXIMATE SYMMETRIES, CONSERVATION LAWS AND NUMERICAL SOLUTIONS FOR A CLASS OF PERTURBED LINEAR WAVE TYPE SYSTEM

机译：一类扰动线性波型系统的近似对称，保护法和数值解决方案

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The present work considers the Lie group analysis of a system of linear wave type perturbed systems. The methodology is based on finding approximate symmetry operators of a given system. Approximate conservation laws are found via an approximate version of Noether's theorem. This is based on the modified Noether's method provided by Ibragimov. Finally a numerical method is applied to solve the considered system.

机译：目前的工作考虑了线性波型扰动系统系统的LIE组分析。方法基于找到给定系统的近似对称运算符。通过近似版本的Noether的定理版本找到近似保护法。这是基于IBRagimov提供的修改的Noether的方法。最后，应用了一个数字方法来解决考虑的系统。

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来源
《Quaestiones mathematicae 》 |2019年第10期| 1393-1409| 共17页
作者
S. Reza Hejazi; Soleiman hosseinpour; ELham Lashkarian;
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作者单位

Faculty of Mathematical Sciences Shahrood University of Technology Shahrood Semnan Iran;

Faculty of Mathematical Sciences Shahrood University of Technology Shahrood Semnan Iran;

Faculty of Mathematical Sciences Shahrood University of Technology Shahrood Semnan Iran;

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正文语种 eng
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关键词
Approximate symmetry; approximate conservation laws; Noether's theorem; non-linear self-adjointness; Legendre polynomials;

机译：近似对称;近似保护法;noether的定理;非线性自伴害;Legendre多项式;

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3. Approximate Noether-Type Symmetries and Conservation Laws via Partial Lagrangians for Nonlinear Wave Equation with Damping [J] . SU Jing-Rui, ZHANG Shun-Li, LI Ji-Na Communications in Theoretical Physics . 2010 ,第1期

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6. A NEW APPROACH TO THE NUMERICAL SOLUTION OF A CLASS OF LINEAR AND NONLINEAR INTEGRAL EQUATIONS OF FREDHOLM TYPE [O] . Richard Bellman 1965

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APPROXIMATE SYMMETRIES, CONSERVATION LAWS AND NUMERICAL SOLUTIONS FOR A CLASS OF PERTURBED LINEAR WAVE TYPE SYSTEM

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