A comparison of several invariant imbedding algorithms for the solution of two-point boundary-value problems
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Publication:1229557
DOI10.1016/0096-3003(75)90033-8zbMath0335.65031OpenAlexW1980994631MaRDI QIDQ1229557
Walter H. Vandevender, Melvin R. Scott
Publication date: 1975
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0096-3003(75)90033-8
Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)
Related Items (13)
Solution of structured non-stiff ODEs ⋮ A novel method for nonlinear two-point boundary value problems: Combination of ADM and RKM ⋮ Multidimensional Kagiwada-Kalaba method of invariant imbedding with general linear implicit boundary conditions ⋮ Numerical solutions of Troesch and Duffing equations by Taylor wavelets ⋮ A numerical algorithm for nonlinear multi-point boundary value problems ⋮ A new modification of the Adomian decomposition method for solving boundary value problems for higher order nonlinear differential equations ⋮ Spectral method for solving high order nonlinear boundary value problems via operational matrices ⋮ A numerical analysis of two point boundary value problem algorithms ⋮ Invariant imbedding applied to homogeneous two-point boundary-value problems with a singularity of the first kind ⋮ New wavelets collocation method for solving second-order multipoint boundary value problems using Chebyshev polynomials of third and fourth kinds ⋮ A comparison of several invariant imbedding algorithms for the solution of two-point boundary-value problems ⋮ On the effectiveness of the inverse Riccati transformation in the matrix case ⋮ Solving two-point boundary value problems using combined homotopy perturbation method and Green's function method
Cites Work
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- Reduction of dimensionality for systems of linear two-point boundary value problems with constant coefficients
- Solution of two-point boundary-value problems with Jacobian matrix characterized by large positive eigenvalues
- Initial value methods for boundary value problems. Theory and application of invariant imbedding
- A comparison of several invariant imbedding algorithms for the solution of two-point boundary-value problems
- Some functional relations for two point boundary value problems. II: The inhomogeneous case
- The two-phase, three-zone melting problem-response to pulse heating
- An invariant imbedding algorithm for the solution of inhomogeneous linear two-point boundary value problems
- Numerical methods of high-order accuracy for nonlinear boundary value problems. I: One dimensional problem
- A numerical algorithm suggested by problems of transport in periodic media
- General technique for solving nonlinear, two-point boundary-value problems via the method of particular solutions
- Invariant imbedding and the calculation of internal values
- Solution of a certain class of nonlinear two-point boundary value problems
- Internal values in particle transport by the method of invariant imbedding
- Invariant imbedding for differential equations with integral boundary conditions
- Solution of Troesch's two-point boundary value problem by a combination of techniques
- Shooting and embedding for two-point boundary value problems
- A proposal for the calculation of characteristic functions for certain differential and integral operators via initial-value methods
- A useful device for certain boundary-value problems
- Solution of Troesch's, and other, two point boundary value problems by shooting techniques
- ON THE PRINCIPLE OF INVARIANT IMBEDDING AND PROPAGATION THROUGH INHOMOGENEOUS MEDIA
- BOUNDARY-VALUE TECHNIQUES FOR THE NUMERICAL SOLUTION OF INITIAL-VALUE PROBLEMS IN ORDINARY DIFFERENTIAL EQUATIONS
- Invariant Imbedding and Mathematical Physics. I. Particle Processes
- On Testing a Subroutine for the Numerical Integration of Ordinary Differential Equations
- A Variable Order Finite Difference Method for Nonlinear Multipoint Boundary Value Problems
- The Generalized Riccati Transformation as a Simple Alternative to Invariant Imbedding
- Invariant imbedding and the numerical integration of boundary-value problems for unstable linear systems of ordinary differential equations
- On factorization method
- Use of the field method for numerical integration of two-point boundary-value problems.
- Accurate Difference Methods for Linear Ordinary Differential Systems Subject to Linear Constraints
- Solution of Ill-Conditioned linear Two-Point Boundary Value Problems by the Riccati Transformation
- Some Recent Developments in Invariant Imbedding with Applications
- Difference Methods for Nonlinear First-Order Hyperbolic Systems of Equations
- Efficient Algorithms for Polynomial Interpolation and Numerical Differentiation
- Numerical Solution of Unstable Initial Value Problems by Invariant Imbedding
- Stabilization of unstable two-point boundary value problems.
- Comparing Numerical Methods for Ordinary Differential Equations
- Numerical Solutions by the Continuation Method
- Comparison of Linear and Riccati Equations Used to Solve Optimal Control Problems
- A comparative study of invariant imbedding and superposition
- Numerical solution of nonlinear two-point boundary problems by finite difference methods
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