Reproducing kernel pseudospectral method for the numerical investigation of nonlinear multi-point boundary value problems
DOI10.1007/s40314-018-0704-5zbMath1413.74098OpenAlexW2889517180MaRDI QIDQ1715708
Mehdi Jalalvand, Mahdi Emamjome, Mohammad Nabati
Publication date: 29 January 2019
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-018-0704-5
convergenceiterative methodreproducing kernel Hilbert spacesmulti-point boundary conditionnonlinear Bitsadze-Samarskii boundary value problem
Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Spectral and related methods applied to problems in solid mechanics (74S25) Numerical solution of boundary value problems involving ordinary differential equations (65L10)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Reproducing kernel functions for difference equations
- A method of particular solutions for multi-point boundary value problems
- A new application of the reproducing kernel Hilbert space method to solve MHD Jeffery-Hamel flows problem in nonparallel walls
- A reproducing kernel method for solving nonlocal fractional boundary value problems
- The use of sinc-collocation method for solving multi-point boundary value problems
- A numerical solution to nonlinear second order three-point boundary value problems in the reproducing kernel space
- On a difference scheme of second order of accuracy for the Bitsadze-Samarskii type nonlocal boundary-value problem
- A shooting reproducing kernel Hilbert space method for multiple solutions of nonlinear boundary value problems
- The use of Adomian decomposition method for solving problems in calculus of variations
- Fitted reproducing kernel Hilbert space method for the solutions of some certain classes of time-fractional partial differential equations subject to initial and Neumann boundary conditions
- Successive iteration and positive solution for nonlinear second-order three-point boundary value problems
- On numerical studies of multi-point boundary value problem and its fold bifurcation
- Some error estimates for the reproducing kernel Hilbert spaces method
- The solution of multipoint boundary value problems by the optimal homotopy asymptotic method
- Solving singular nonlinear second-order periodic boundary value problems in the reproducing kernel space
- The exact solution for solving a class nonlinear operator equations in the reproducing kernel space.
- Multiple positive solutions for nonlinear \(m\)-point boundary value problems.
- Numerical solutions of fractional differential equations of Lane-Emden type by an accurate technique
- On solutions of fractional Riccati differential equations
- New reproducing kernel functions
- Numerical solution of nonlinear singular boundary value problems
- Application of reproducing kernel algorithm for solving second-order, two-point fuzzy boundary value problems
- Numerical solution of seventh-order boundary value problems by a novel method
- Numerical investigations for systems of second-order periodic boundary value problems using reproducing kernel method
- Explicit solution of telegraph equation based on reproducing kernel method
- An iterative kernel based method for fourth order nonlinear equation with nonlinear boundary condition
- Numerical solutions of the second-order one-dimensional telegraph equation based on reproducing kernel Hilbert space method
- Numerical solutions of fuzzy differential equations using reproducing kernel Hilbert space method
- An iterative reproducing kernel method in Hilbert space for the multi-point boundary value problems
- Solving Fredholm integro-differential equations using reproducing kernel Hilbert space method
- The reproducing kernel algorithm for handling differential algebraic systems of ordinary differential equations
- APPROXIMATE SOLUTION OF NONLINEAR MULTI-POINT BOUNDARY VALUE PROBLEM ON THE HALF-LINE
- Numerical solution of nonlinear three-point boundary value problem on the positive half-line
- Multi-point boundary value problem for optimal bridge design
- Solutions of nonlinear systems by reproducing kernel method
- Approximate Solutions of DASs with Nonclassical Boundary Conditions using Novel Reproducing Kernel Algorithm
- PICARD-REPRODUCING KERNEL HILBERT SPACE METHOD FOR SOLVING GENERALIZED SINGULAR NONLINEAR LANE-EMDEN TYPE EQUATIONS
- On solutions of variable-order fractional differential equations