A Study on Homotopy Analysis Method and Clique Polynomial Method

DOI10.22034/cmde.2021.46473.1953OpenAlexW3208773778MaRDI QIDQ5884021

Unnamed Author, S. Kumbinarasaiah

Publication date: 19 March 2023

Full work available at URL: https://cmde.tabrizu.ac.ir/article_13736_25adfd59397e927cd2bc8801e4328656.pdf

zbMATH Keywords

nonlinear differential equationcomplete graphhomotopy analysis methodClique polynomial

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Approximation by polynomials (41A10) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Homotopy analysis method for fractional IVPs
• Solving systems of ODEs by homotopy analysis method
• A new approach for the numerical solution for nonlinear Klein-Gordon equation
• The application of homotopy analysis method to nonlinear equations arising in heat transfer
• Direct solution of \(n\)th-order IVPs by homotopy analysis method
• Clique polynomials and independent set polynomials of graphs
• Theoretical study on continuous polynomial wavelet bases through wavelet series collocation method for nonlinear Lane-Emden type equations
• Numerical-solution-for-nonlinear-Klein-Gordon equation via operational-matrix by clique polynomial of complete graphs
• Homotopy Analysis Method in Nonlinear Differential Equations
• Advanced Numerical and Semi‐Analytical Methods for Differential Equations

This page was built for publication: A Study on Homotopy Analysis Method and Clique Polynomial Method