Procedure for Exact Solutions of Stiff Ordinary Differential Equations Systems

References (29)

1. 1 Computational Methods in Ordinary Differential Equations
2. 2 Essentials of Pade approximants
3. 3 Theory of Differential Equations. [DOI]
4. 4 Solutions of non-linear oscillators by the modified differential transform method [DOI]
5. 5 An aftertreatment technique for improving the accuracy of Adomian's decomposition method [DOI]
6. 6 Exact solutions of some coupled nonlinear partial differential equations using the homotopy perturbation method [DOI]
7. 7 Comparative performance of exponential, implicit, and explicit integrators for stiff systems of ODEs [DOI]
8. 8 An approximate analytic solution of the nonlinear Riccati differential equation [DOI]
9. 9 On the numerical solution of the model for HIV infection of CD4+ T cells [DOI]
10. 10 Explicit Time-Stepping for Stiff ODEs [DOI]
11. 11 The modified homotopy perturbation method for solving strongly nonlinear oscillators [DOI]
12. 12 The modified algorithm for the differential transform method to solution of Genesio systems [DOI]
13. 13 The combined Laplace transform and new homotopy perturbation methods for stiff systems of ODEs [DOI]
14. 14 A reliable aftertreatment for improving the differential transformation method and its application to nonlinear oscillators with fractional nonlinearities [DOI]
15. 15 A Numerical Algorithm for Solving Stiff Ordinary Differential Equations [DOI]
16. 16 Two low accuracy methods for stiff systems [DOI]
17. 17 An effective modification of the homotopy perturbation method for stiff systems of ordinary differential equations [DOI]
18. 18 Comparison of some recent numerical methods for initial-value problems for stiff ordinary differential equations [DOI]
19. 19 A sixth-order A-stable explicit one-step method for stiff systems [DOI]
20. 20 On the numerical solution of stiff systems [DOI]
21. 21 Construction and implementation of highly stable two-step continuous methods for stiff differential systems [DOI]
22. 22 A modified group-preserving scheme for solving the initial value problems of stiff ordinary differential equations [DOI]
23. 23 Application of series method with Padé and Laplace-Padé resummation methods to solve a model for the evolution of smoking habit in Spain [DOI]
24. 24 Procedure for Exact Solutions of Nonlinear Pantograph Delay Differential Equations [DOI]
25. 25 Analytical solutions for systems of partial differential–algebraic equations [DOI]
26. 26 Numerical Approach for Solving Stiff Differential Equations: A Comparative Study
27. 27 A Novel Power Series Method for Solving Second Order Partial Differential Equations
28. 28 The Semianalytical Solutions for Stiff Systems of Ordinary Differential Equations by Using Variational Iteration Method and Modified Variational Iteration Method with Comparison to Exact Solutions [DOI]
29. 29 On the numerical solution of linear stiff IVPs by modified homotopy perturbation method

Cited by 3

Showing 1 of 3 known citations — external sources report more than can currently be individually listed.

Related research

• Studying the Effect of Vertical Eddy Diffusivity on the Solution of Diffusion Equation — shares topic coverage
• LHAM Approach to Fractional Order Rosenau-Hyman and Burgers' Equations — shares topic coverage
• Alenezi Transform–A New Transform to Solve Mathematical Problems — shares topic coverage
• Thermal and Quantum Properties of Nonlinear and Inverted Harmonic Oscillators in Magnetic Fields: Applications to Polyatomic Molecules — shares topic coverage
• Analytical Investigation of Energy and Mass Transport in Magnetohydrodynamic Fe₃O₄–Water Nanofluid Flow through a Chemically Reacting Porous Channel with Thermal Radiation — shares topic coverage