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  • Homotopy Analysis Method in Nonlinear Differential Equationsby Shijun Liao

    Springer Berlin Heidelberg 2012; US$ 124.00

    This book presents the latest developments and applications of the analytic approximation method for highly nonlinear problems, namely the homotopy analysis method (HAM). Reviews basic concepts and introduces the HAM-based Mathematica package BVPh 1.0. more...

  • Advances in the Homotopy Analysis Methodby Shijun Liao

    World Scientific Publishing Company 2013; US$ 163.00

    Unlike other analytic techniques, the Homotopy Analysis Method (HAM) is independent of small/large physical parameters. Besides, it provides great freedom to choose equation type and solution expression of related linear high-order approximation equations. The HAM provides a simple way to guarantee the convergence of solution series. Such uniqueness... more...

  • Beyond Perturbationby Shijun Liao

    CRC Press 2003; US$ 159.95

    Solving nonlinear problems is inherently difficult, and the stronger the nonlinearity, the more intractable solutions become. Analytic approximations often break down as nonlinearity becomes strong, and even perturbation approximations are valid only for problems with weak nonlinearity. This book introduces a powerful new analytic method for nonlinear... more...

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