Application of the generalized Siewert-Burniston method to locating zeros and poles of meromorphic functions

On the selection of auxiliary functions,

On the selection of auxiliary functions, operators, and convergence control parameters in the application of the Homotopy Analysis Method to nonlinear differential equations: A general approach

✍ Robert A. Van Gorder; K. Vajravelu 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 226 KB

The Homotopy Analysis Method of Liao [Liao SJ. Beyond perturbation: introduction to the Homotopy Analysis Method. Boca Raton: Chapman & Hall/CRC Press; 2003] has proven useful in obtaining analytical solutions to various nonlinear differential equations. In this method, one has great freedom to sele