An effective QLM-based Legendre matrix algorithm to solve the coupled system of fractional-order Lane-Emden equations

Izadi, Mohammad; Baleanu, Dumitru

doi:10.1016/j.apnum.2023.12.004

Applied Numerical Mathematics

2024

DOI: 10.1016/j.apnum.2023.12.004

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An effective QLM-based Legendre matrix algorithm to solve the coupled system of fractional-order Lane-Emden equations

Mohammad Izadi,

Dumitru Baleanu

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Cited by 4 publications

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A rational optimal block hybrid method for enhanced accuracy in solving Lane–Emden equations

Motsa,

Ahmedai,

Nefale

et al. 2024

Partial Differential Equations in Applied Mathematics

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A rational optimal block hybrid method for enhanced accuracy in solving Lane–Emden equations

Motsa,

Ahmedai,

Nefale

et al. 2024

Partial Differential Equations in Applied Mathematics

View full text Add to dashboard Cite

Taylor wavelet quasilinearization method for solving tumor growth model of fractional order

Yadav,

Jahan,

Izadi

2024

Results in Control and Optimization

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Numerical Methods Based on the Hybrid Shifted Orthonormal Polynomials and Block‐Pulse Functions for Solving a System of Fractional Differential Equations

Rageh,

Hadhoud

2024

Complexity

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This paper develops two numerical methods for solving a system of fractional differential equations based on hybrid shifted orthonormal Bernstein polynomials with generalized block‐pulse functions (HSOBBPFs) and hybrid shifted orthonormal Legendre polynomials with generalized block‐pulse functions (HSOLBPFs). Using these hybrid bases and the operational matrices method, the system of fractional differential equations is reduced to a system of algebraic equations. Error analysis is performed and some simulation examples are provided to demonstrate the efficacy of the proposed techniques. The numerical results of the proposed methods are compared to those of the existing numerical methods. These approaches are distinguished by their ability to work on the wide interval [0, a], as well as their high accuracy and rapid convergence, demonstrating the utility of the proposed approaches over other numerical methods.

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An effective QLM-based Legendre matrix algorithm to solve the coupled system of fractional-order Lane-Emden equations

Cited by 4 publications

References 31 publications

A rational optimal block hybrid method for enhanced accuracy in solving Lane–Emden equations

A rational optimal block hybrid method for enhanced accuracy in solving Lane–Emden equations

Taylor wavelet quasilinearization method for solving tumor growth model of fractional order

Numerical Methods Based on the Hybrid Shifted Orthonormal Polynomials and Block‐Pulse Functions for Solving a System of Fractional Differential Equations

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