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Homotopy analysis method in nonlinear differential equations

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  • ""Homotopy Analysis Method in Nonlinear Differential Equations" presents the latest developments and applications of the analytic approximation method for highly nonlinear problems, namely the homotopy analysis method (HAM).℗¡ Unlike perturbation methods, the HAM has nothing to do with small/large physical parameters.℗¡ In addition, it provides great freedom to choose the equation-type of linear sub-problems and the base functions of a solution.℗¡ Above all, it provides a convenient way to guarantee the convergence of a solution. This book consists of three parts.℗¡ Part I provides its basic ideas and theoretical development.℗¡ Part II presents the HAM-based Mathematica package BVPh 1.0 for nonlinear boundary-value problems and its applications.℗¡ Part III shows the validity of the HAM for nonlinear PDEs, such as the American put option and resonance criterion of nonlinear travelling waves.℗¡ New solutions to a number of nonlinear problems are presented, illustrating the originality of the HAM.℗¡ Mathematica codes are freely available online to make it easy for readers to understand and use the HAM.℗¡ ℗¡ This book is suitable for researchers and postgraduates in applied mathematics, physics, nonlinear mechanics, finance and engineering. Dr. Shijun Liao, a distinguished professor of Shanghai Jiaotong University, is a pioneer of the HAM.℗¡ ℗¡"

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  • "Electronic books"
  • "Electronic books"@en

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  • "Homotopy analysis method in nonlinear differential equations"
  • "Homotopy analysis method in nonlinear differential equations"@en
  • "Homotopy Analysis Method in Nonlinear Differential Equations"
  • "Homotopy Analysis Method in Nonlinear Differential Equations"@en

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