An iterative algorithm to find a closed form of solution for Hammerstein nonlinear integral equation constructed by the concept of cosm-rs

DOI10.1007/s40096-019-00299-4zbMath1447.45007OpenAlexW2971402712WikidataQ127285921 ScholiaQ127285921MaRDI QIDQ2179014

Mohsen Rabbani

Publication date: 12 May 2020

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40096-019-00299-4

zbMATH Keywords

Hammerstein integral equationAdomian decompositionmodified homotopy perturbationconductor-like screening model for real solvent (cosm-rs)

Mathematics Subject Classification ID

Chemistry (92E99) Iterative procedures involving nonlinear operators (47J25) Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Applications of operator theory in chemistry and life sciences (47N60)

Related Items (4)

Iterative algorithm and theoretical treatment of existence of solution for \((k, z)\)-Riemann-Liouville fractional integral equations ⋮ Existence of solution of functional Volterra-Fredholm integral equations in space \(L^\infty(\mathbb{R}_+)\) and sinc interpolation to find solution ⋮ Solvability and approximation of nonlinear functional mixed Volterra-Fredholm equation in Banach space ⋮ Existence of solutions of nonlinear Fredholm-type integral equations in Hölder space

Cites Work

• Unnamed Item
• Comparative experiment on the numerical solutions of Hammerstein integral equation arising from chemical phenomenon
• A reliable modification of Adomian decomposition method
• Existence of solution for an infinite system of nonlinear integral equations via measure of noncompactness and homotopy perturbation method to solve it
• Extension of some theorems to find solution of nonlinear integral equation and homotopy perturbation method to solve it
• An approximate solution technique not depending on small parameters: A special example
• On the numerical solution of nonlinear integral equation arising in conductor like screening model for realistic solvents
• Metric-like spaces to prove existence of solution for nonlinear quadratic integral equation and numerical method to solve it
• A modification for solving Fredholm‐Hammerstein integral equation by using wavelet basis
• A new approach to nonlinear partial differential equations

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