An Efficient Iterative Method for Nonlinear Boundary Value Problems with Existence and Uniqueness
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Publication:6173078
DOI10.1142/s0219876222500554OpenAlexW4309708365MaRDI QIDQ6173078
Publication date: 21 July 2023
Published in: International Journal of Computational Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219876222500554
Nonlinear boundary value problems for ordinary differential equations (34B15) Fixed-point theorems (47H10) Numerical solution of boundary value problems involving ordinary differential equations (65L10)
Cites Work
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- Taylor series method for solving a class of nonlinear singular boundary value problems arising in applied science
- Numerical solution of singularly perturbed convection-diffusion-reaction problems with two small parameters
- Optimal error estimate using mesh equidistribution technique for singularly perturbed system of reaction-diffusion boundary-value problems
- Comparison of a priori and a posteriori meshes for singularly perturbed nonlinear parameterized problems
- Singular nonlinear \((k,n-k)\) conjugate boundary value problems
- Variational iteration method -- a kind of non-linear analytical technique: Some examples
- Iterative approximation of fixed points
- Variational iteration method: New development and applications
- Numerical solution of Troesch's problem by simple shooting method
- A review of the decomposition method in applied mathematics
- Positive solutions for \((p,n-p)\) conjugate boundary value problems
- Solving frontier problems of physics: the decomposition method
- Spline solutions of linear eighth-order boundary-value problems
- Upper and lower solution methods for fully nonlinear boundary value problems
- Applied functional analysis. Applications to mathematical physics. Vol. 1
- Higher order accurate approximations on equidistributed meshes for boundary layer originated mixed type reaction diffusion systems with multiple scale nature
- On the approximate solutions of a class of fractional order nonlinear Volterra integro-differential initial value problems and boundary value problems of first kind and their convergence analysis
- A moving mesh refinement based optimal accurate uniformly convergent computational method for a parabolic system of boundary layer originated reaction-diffusion problems with arbitrary small diffusion terms
- Existence-uniqueness and fixed-point iterative method for general nonlinear fourth-order boundary value problems
- Computation of Green's functions for boundary value problems with Mathematica
- Convergence of variational iteration method applied to two-point diffusion problems
- Numerical methods for special nonlinear boundary-value problems of order \(2m\)
- Picard iteration converges faster than Mann iteration for a class of quasi-contractive operators
- A numerical method for solving boundary and interior layers dominated parabolic problems with discontinuous convection coefficient and source terms
- An a posteriori based convergence analysis for a nonlinear singularly perturbed system of delay differential equations on an adaptive mesh
- Parameter uniform optimal order numerical approximation of a class of singularly perturbed system of reaction diffusion problems involving a small perturbation parameter
- A new algorithm for calculating one-dimensional differential transform of nonlinear functions
- Richardson Extrapolation Method for SingularlyPerturbed Convection-Diffusion Problems on AdaptivelyGenerated Mesh
- Positive solutions for (n − 1, 1) conjugate boundary value problems
- Finite difference methods for two-point boundary value problems involving high order differential equations
- Positive solutions and eigenvalues of conjugate boundary value problems
- Numerical treatment of two‐parameter singularly perturbed parabolic convection diffusion problems with non‐smooth data
- Multiple symmetric positive solutions of a class of boundary value problems for higher order ordinary differential equations
- Theoretical prospects of fractional order weakly singular Volterra Integro differential equations and their approximations with convergence analysis
- A perturbation-based approach for solving fractional-order Volterra–Fredholm integro differential equations and its convergence analysis
- A graded mesh refinement approach for boundary layer originated singularly perturbed time‐delayed parabolic convection diffusion problems
- A higher order difference method for singularly perturbed parabolic partial differential equations
- Adaptive mesh generation for singularly perturbed fourth-order ordinary differential equations
- The Round‐off Stability of Iterations
- Multiplicity results for singular conjugate, focal, and \((N,P)\) problems
