A quasilinearization method for a class of integro-differential equations with mixed nonlinearities

DOI10.1016/j.nonrwa.2005.09.003zbMath1111.45005OpenAlexW1983660855MaRDI QIDQ867947

Bashir Ahmad

Publication date: 19 February 2007

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2005.09.003

zbMATH Keywords

integro-differential equationsquadratic convergencemethod of lower and upper solutionsgeneralized quasilinearization

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Theoretical approximation of solutions to integral equations (45L05)

Related Items (18)

On extending the quasilinearization method to higher order convergent hybrid schemes using the spectral homotopy analysis method ⋮ On nonlocal three-point boundary value problems of Duffing equation with mixed nonlinear forcing terms ⋮ Rapid convergence of solution for hybrid system with causal operators ⋮ Approximation of solutions for second-order \(m\)-point nonlocal boundary value problems via the method of generalized quasilinearization ⋮ A numerical iterative method for solving two-point BVPs in infinite-horizon nonzero-sum differential games: economic applications ⋮ Convergence of antiperiodic boundary value problems for first-order integro-differential equations ⋮ Existence and approximation of solution of three-point boundary value problems on time scales ⋮ Existence and approximation of solutions for a class of nonlinear impulsive functional differential equations with anti-periodic boundary conditions ⋮ Method of quasilinearization for a nonlocal singular boundary value problem in weighted spaces ⋮ A generalized quasilinearization method for nonlinear second-order impulsive differential equations involving the \(p\)-Laplacian ⋮ Quadratic approximation of solutions for boundary value problems with nonlocal boundary conditions ⋮ Approximation of solutions for an initial and terminal value problem for the forced Duffing equation with non-viscous damping ⋮ Approximation of solutions of the nonlinear Duffing equation involving both integral and non-integral forcing terms with separated boundary conditions ⋮ Existence and approximation of solutions of forced Duffing type integro-differential equations with three-point nonlinear boundary conditions ⋮ Analytic approximation of solutions of the forced Duffing equation with integral boundary conditions ⋮ Existence of approximate solutions of the forced Duffing equation with discontinuous type integral boundary conditions ⋮ Existence and analytic approximation of solutions of Duffing type nonlinear integro-differential equation with integral boundary conditions ⋮ Bernstein collocation method for solving nonlinear Fredholm-Volterra integrodifferential equations in the most general form

Cites Work

• Generalized quasilinearization versus Newton method
• A quasilinearization method for a class of second order singular nonlinear differential equations with nonlinear boundary conditions
• Discrete-time growth-dispersal models
• Spreading disease: Integro-differential equations old and new.
• Quadratic approximation of solutions for differential equations with nonlinear boundary condi\-tions
• Quasilinearization method for nonlinear elliptic boundary-value problems
• The generalized quasilinearization method and three point boundary value problems on time scales
• Quadratic approximation of solutions for ordinary differential equations
• Generalized quasilinearization method for a second order ordinary differential equation with Dirichlet boundary conditions
• Quasilinearization and rate of convergence for higher-order nonlinear periodic boundary-value problems
• The Bellmann-Kalaba-Lakshmikantham quasilinearization method for Neumann problems
• Quasilinearization approach to nonlinear problems in physics with application to nonlinear ODEs
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A quasilinearization method for a class of integro-differential equations with mixed nonlinearities