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<p>The procedure termed Homotopy Analysis Decomposition Method (HADM) for solving nonlinear Blasius equation was derived by combining Adomian polynomial with Homotopy Analysis Method (HAM). The approach is based on using Adomian polynomial to decompose the nonlinear term of the equation after which the procedure of HAM is applied. Wang Transformation was used to transform the equation from infinite to finite form and then solved using HADM and the skin friction <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(f''(0)\)</EquationSource> </InlineEquation> was obtained through Padé approximation. The obtained results take the form of convergent series with easily computable terms displayed with other method in the literature in tables and graphs to validate the efficiency and accuracy of the method.</p>

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Insight into Homotopy Analysis Decomposition Method Embedded with Wang Transformation and Padé Approximation

  • 期刊论文

  • 发表日期：

    2025年8月18日

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  • Saheed Alao,
  • Razaq Adekola Oderinu,
  • Emmanuel Idowu Akinola,
  • Adepeju Abimbola Oyewumi,
  • Musilimu Taiwo

摘要

The procedure termed Homotopy Analysis Decomposition Method (HADM) for solving nonlinear Blasius equation was derived by combining Adomian polynomial with Homotopy Analysis Method (HAM). The approach is based on using Adomian polynomial to decompose the nonlinear term of the equation after which the procedure of HAM is applied. Wang Transformation was used to transform the equation from infinite to finite form and then solved using HADM and the skin friction \(f''(0)\) was obtained through Padé approximation. The obtained results take the form of convergent series with easily computable terms displayed with other method in the literature in tables and graphs to validate the efficiency and accuracy of the method.