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首页> 外文期刊>International journal of numerical methods for heat & fluid flow >Numerical soliton solutions of improved Boussinesq equation
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Numerical soliton solutions of improved Boussinesq equation

机译：改进的Boussinesq方程的数值孤子解

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摘要

Purpose - The purpose of this paper is to use the homotopy perturbation method (HPM) to obtain numerical soliton solution of the improved Boussinesq equation (IBE). The solutions are calculated in the form of a convergent power series with easily computable components. Design/methodology/approach - The HPM is used to obtain numerical soliton solution of the IBE. The solutions are calculated in the form of a convergent power series with easily computable components. Findings - The errors are obtained by using the approximate solution given by using only two iterations of the HPM. It is evident that the efficiency of this approach can be dramatically enhanced by computing further terms of approximate solution. Originality/value - The numerical results presented in the paper show that only a few terms are sufficient to obtain accurate solutions.
机译：目的-本文的目的是使用同伦扰动方法（HPM）来获得改进的Boussinesq方程（IBE）的数值孤子解。这些解决方案以具有容易计算的组件的收敛幂级数的形式进行计算。设计/方法/方法-HPM用于获得IBE的数值孤子解。这些解决方案以具有容易计算的组件的收敛幂级数的形式进行计算。结果-通过仅使用HPM的两次迭代给出的近似解来获得错误。显然，通过计算近似解的更多项可以大大提高该方法的效率。原创性/价值-本文提供的数值结果表明，只有少数几个项足以获得准确的解决方案。

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