Hybrid model for the optimal numerical solution of nonlinear ordinary differential systems

Theoretical approximation of solutions to ordinary differential equations (34A45) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Cites Work

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Haar wavelet approximate solutions for the generalized Lane-Emden equations arising in astrophysics
Numerical solutions of regularized long wave equation by Haar wavelet method
A numerical method for solving boundary value problems for fractional differential equations
A Haar wavelet-finite difference hybrid method for the numerical solution of the modified Burgers' equation
The monotone iterative method and zeros of Bessel functions for nonlinear singular derivative dependent BVP in the presence of upper and lower solutions
The numerical solution of second-order boundary-value problems by collocation method with the Haar wavelets
Numerical solution of evolution equations by the Haar wavelet method
On solvability of derivative dependent doubly singular boundary value problems
Numerical solution of nonlinear Fredholm integral equations of the second kind using Haar wavelets
Existence of positive solution to singular systems of second-order four-point BVPs
Haar wavelet approach to linear stiff systems.
Multiple nonnegative solutions of second-order systems of boundary value problems
Haar wavelet collocation method for Lane-Emden equations with Dirichlet, Neumann and Neumann-Robin boundary conditions
Haar wavelet solutions of nonlinear oscillator equations
An efficient method for solving coupled Lane-Emden boundary value problems in catalytic diffusion reactions and error estimate
Numerical solution of differential equations using Haar wavelets
An efficient higher-order quasilinearization method for solving nonlinear BVPs
Higher order Emden-Fowler type equations via uniform Haar wavelet resolution technique
Successive iteration technique for singular nonlinear system with four-point boundary conditions
Solving coupled Lane-Emden equations by Green's function and decomposition technique
An efficient algorithm for numerical solution of fractional integro-differential equations via Haar wavelet
A non-uniform Haar wavelet method for numerically solving two-dimensional convection-dominated equations and two-dimensional near singular elliptic equations
Haar wavelet quasilinearization method for numerical solution of Emden-Fowler type equations
Monotone method for singular BVP in the presence of upper and lower solutions
Taylor series solution for Lane-Emden equation
Singular nonlinear three point BVPs arising in thermal explosion in a cylindrical reactor
Maximum and anti-maximum principles for three point SBVPs and nonlinear three point SBVPs
An efficient wavelet-based method for the numerical solutions of nonlinear coupled reaction-diffusion equations in biochemical engineering
Haar wavelets. With applications
Solving coupled Lane-Emden boundary value problems in catalytic diffusion reactions by the Adomian decomposition method
Haar Wavelet Splines
A study on the systems of the Volterra integral forms of the Lane-Emden equations by the Adomian decomposition method
Haar wavelet method for solving lumped and distributed-parameter systems
Monotone Iterative Technique for a Class of Four Point BVPs with Reversed Ordered Upper and Lower Solutions
A NOTE ON EXISTENCE RESULTS FOR A CLASS OF THREE-POINT NONLINEAR BVPS
Higher resolution methods based on quasilinearization and Haar wavelets on Lane–Emden equations
Haar wavelet iteration method for solving time fractional Fisher's equation
Haar wavelet approach to nonlinear stiff systems