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Purpose <p>The present study aims to develop a reliable combination of Homotopy Perturbation method KT-Transform. Convergence Analysis has been also carried out.</p> Methods <p>The Hybrid Homotopy Perturbation KT Transform method has been adopted to solve non-linear partial differential equations. The numerical illustrations have been carried out with help of Maple and MATLAB software.</p> Results <p>The error analysis for the considered partial differential equations shows that the approximate solution converges very rapidly to the exact solution.</p> Conclusions <p>It is observed that non-linear terms can be smoothly handled. The hybrid homotopy perturbation KT transform method is effective and more accurate.</p>

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Convergence Analysis of Hybrid Homotopy Perturbation KT-Transform Method and its Applications for Solving Non-linear PDE’s

  • 期刊论文

  • 发表日期：

    2025年1月24日

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  • D. Grover,
  • R. K. Seth

摘要

Purpose

The present study aims to develop a reliable combination of Homotopy Perturbation method KT-Transform. Convergence Analysis has been also carried out.

Methods

The Hybrid Homotopy Perturbation KT Transform method has been adopted to solve non-linear partial differential equations. The numerical illustrations have been carried out with help of Maple and MATLAB software.

Results

The error analysis for the considered partial differential equations shows that the approximate solution converges very rapidly to the exact solution.

Conclusions

It is observed that non-linear terms can be smoothly handled. The hybrid homotopy perturbation KT transform method is effective and more accurate.