Approximate solution of singular IVPs of Lane-Emden type and error estimation via advanced Adomian decomposition method
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Publication:2053237
DOI10.1007/S12190-020-01444-2zbMath1475.65218OpenAlexW3093994402MaRDI QIDQ2053237
Publication date: 29 November 2021
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12190-020-01444-2
error boundresidual errorLane-Emden equationAdomian polynomialsconvergence theoremadvanced Adomian decomposition methodsingular initial-value problems
Related Items (2)
Recent development of Adomian decomposition method for ordinary and partial differential equations ⋮ An adaptation of the modified decomposition method in solving nonlinear initial-boundary value problems for ODEs
Cites Work
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- Chebyshev neural network based model for solving Lane-Emden type equations
- Numerical solution of singular Lane-Emden equation
- A Jacobi-Gauss collocation method for solving nonlinear Lane-Emden type equations
- The numerical method for solving differential equations of Lane-Emden type by Padé approximation
- Solutions of a class of singular second-order IVPs by homotopy-perturbation method
- Convenient analytic recurrence algorithms for the Adomian polynomials
- A convenient computational form for the Adomian polynomials
- Solutions of Emden-Fowler equations by homotopy-perturbation method
- Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane-Emden type
- Nonlinear transformation of series. II
- A modified decomposition
- Decomposition methods: A new proof of convergence
- Solving certain classes of Lane-Emden type equations using the differential transformation method
- Linearization techniques for singular initial-value problems of ordinary differential equations
- On group analysis of the time fractional extended \((2+1)\)-dimensional Zakharov-Kuznetsov equation in quantum magneto-plasmas
- On integrability of the time fractional nonlinear heat conduction equation
- Explicit a-priori error bounds and adaptive error control for approximation of nonlinear initial value differential systems
- A Jacobi rational pseudospectral method for Lane-Emden initial value problems arising in astrophysics on a semi-infinite interval
- Error bounds for numerical solutions of ordinary differential equations
- Convergence of the Adomian decomposition method for initial-value problems
- A numerical approach for solving a class of the nonlinear Lane-Emden type equations arising in astrophysics
- A new perturbative approach to nonlinear problems
- Higher order numeric solutions of the Lane–Emden-type equations derived from the multi-stage modified Adomian decomposition method
- A new algorithm for solving differential equations of Lane-Emden type
- Quasilinearization approach to nonlinear problems in physics with application to nonlinear ODEs
- On overall behavior of Maxwell mechanical model by the combined Caputo fractional derivative
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