Application of He's homotopy perturbation method for Cauchy problem of ill-posed nonlinear diffusion equation

DOI10.1155/2010/780207zbMath1196.35226OpenAlexW2036462343WikidataQ58650881 ScholiaQ58650881MaRDI QIDQ980810

Ali Zakeri, Azim Aminataei, Qodsiyeh Jannati

Publication date: 29 June 2010

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/222974

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Asymptotic expansions of solutions to PDEs (35C20) Theoretical approximation in context of PDEs (35A35) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (2)

An efficient method for Cauchy problem of ill‐posed nonlinear diffusion equation ⋮ The Fourier-Bessel method for solving the Cauchy problem connected with the Helmholtz equation

Cites Work

• A numerical model for the process of gas exchange in the pulmonary capillaries
• The dynamical nature of a backlash system with and without fluid friction
• Recent development of the homotopy perturbation method
• Two-layer model for the process of blood oxygenation in the pulmonary capillaries - parabolic profiles in the core as well as in the plasma layer
• The homotopy perturbation method for nonlinear oscillators with discontinuities.
• Application of He's homotopy perturbation method to Volterra's integro-differential equation
• Homotopy perturbation method for solving boundary value problems
• Homotopy perturbation technique
• Entire solutions of partial differential equations with constant coefficients
• On convergence and stability conditions of homotopy perturbation method for an inverse heat conduction problem
• UNCERTAINTY IN THE FLUCTUATIONS OF THE PRICE OF STOCKS
• AN ELEMENTARY INTRODUCTION TO RECENTLY DEVELOPED ASYMPTOTIC METHODS AND NANOMECHANICS IN TEXTILE ENGINEERING
• Best Effort Flow Control in Network-on-Chip
• Converting Linear Programs to Network Problems
• Symmetric Stable Laws and Stable-Like Jump-Diffusions
• Barycentric Lagrange Interpolation
• New classes of similarity solutions of the inhomogeneous nonlinear diffusion equations
• Solution of a partial differential equation subject to temperature overspecification by He's homotopy perturbation method
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
• Application of homotopy perturbation method in the solution of Fokker–Planck equation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Application of He's homotopy perturbation method for Cauchy problem of ill-posed nonlinear diffusion equation