An efficient multi-step iterative method for computing the numerical solution of systems of nonlinear equations associated with ODEs
From MaRDI portal
Publication:902831
DOI10.1016/j.amc.2014.10.103zbMath1328.65156OpenAlexW2067572998MaRDI QIDQ902831
Malik Zaka Ullah, Fayyaz Ahmad, Stefano Serra Capizzano
Publication date: 4 January 2016
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2014.10.103
Theoretical approximation of solutions to ordinary differential equations (34A45) Numerical methods for initial value problems involving ordinary differential equations (65L05)
Related Items
A preconditioned iterative method for solving systems of nonlinear equations having unknown multiplicity ⋮ A family of iterative methods for solving systems of nonlinear equations having unknown multiplicity ⋮ An optimal order method for multiple roots in case of unknown multiplicity ⋮ Constructing frozen Jacobian iterative methods for solving systems of nonlinear equations, associated with ODEs and PDEs using the homotopy method ⋮ An iterative finite difference method for solving Bratu's problem ⋮ Multi-step derivative-free preconditioned Newton method for solving systems of nonlinear equations ⋮ Multi-step preconditioned Newton methods for solving systems of nonlinear equations ⋮ On the accurate discretization of a highly nonlinear boundary value problem ⋮ Higher order multi-step Jarratt-like method for solving systems of nonlinear equations: application to PDEs and ODEs ⋮ Solving systems of nonlinear equations when the nonlinearity is expensive ⋮ Frozen Jacobian multistep iterative method for solving nonlinear IVPs and BVPs ⋮ An eighth order frozen Jacobian iterative method for solving nonlinear IVPs and BVPs ⋮ Unnamed Item ⋮ Generalized newton multi-step iterative methods GMNp,m for solving system of nonlinear equations ⋮ A parameterized multi-step Newton method for solving systems of nonlinear equations
Cites Work
- Unnamed Item
- Unnamed Item
- An efficient fifth order method for solving systems of nonlinear equations
- A class of three-step derivative-free root solvers with optimal convergence order
- An improvement of Ostrowski's and King's techniques with optimal convergence order eight
- Two new classes of optimal Jarratt-type fourth-order methods
- Regarding the accuracy of optimal eighth-order methods
- Accurate fourteenth-order methods for solving nonlinear equations
- Recurrence relations for rational cubic methods. II: The Chebyshev method
- On efficient weighted-Newton methods for solving systems of nonlinear equations
- An algorithm for computing geometric mean of two Hermitian positive definite matrices via matrix sign
- An efficient higher-order quasilinearization method for solving nonlinear BVPs
- Four-point optimal sixteenth-order iterative method for solving nonlinear equations
- On a novel fourth-order algorithm for solving systems of nonlinear equations
- On a new method for computing the numerical solution of systems of nonlinear equations
- Efficient Jarratt-like methods for solving systems of nonlinear equations
- Some modifications of the quasilinearization method with higher-order convergence for solving nonlinear BVPs
- A multi-step class of iterative methods for nonlinear systems
- Quasilinearization method and its verification on exactly solvable models in quantum mechanics
- Second-derivative free methods of third and fourth order for solving nonlinear equations
- An efficient derivative free iterative method for solving systems of nonlinear equations
- Eighth-order Derivative-Free Family of Iterative Methods for Nonlinear Equations
- Quasilinearization approach to nonlinear problems in physics with application to nonlinear ODEs
- A modified Newton-Jarratt's composition