Linearization techniques for singular initial-value problems of ordinary differential equations
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Publication:1763316
DOI10.1016/j.amc.2003.12.047zbMath1061.65061OpenAlexW2162720776MaRDI QIDQ1763316
Publication date: 22 February 2005
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2003.12.047
Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)
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Cites Work
- Unnamed Item
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- Order \(h^ 2\) method for a singular two-point boundary value problem
- Spline finite difference methods for singular two point boundary value problems
- Maps of implicit, linearized \(\theta\)-methods for the logistic differential equation
- A piecewise time-linearized method for the logistic differential equation
- The implicit Euler method for the numerical solution of singular initial value problems
- Linearized methods for ordinary differential equations
- Nonlinear equations with mixed derivatives
- A new method for solving singular initial value problems in the second-order ordinary differential equations
- Linearized \(\Theta\)-methods. I: Ordinary differential equations
- Iterated Defect Correction for the Solution of Singular Initial Value Problems
- INITIAL VALUE PROBLEMS FOR SYSTEMS OF ORDINARY FIRST AND SECOND ORDER DIFFERENTIAL EQUATIONS WITH A SINGULARITY OF THE FIRST KIND
- A Finite-difference Method for a Class of Singular Two-point Boundary-value Problems
- A new perturbative approach to nonlinear problems
- Quasilinearization approach to nonlinear problems in physics with application to nonlinear ODEs