Numerical solution of nonlinear fractional Bratu equation with hybrid method

DOI10.1007/s40819-020-00911-5zbMath1469.65121OpenAlexW3094391053MaRDI QIDQ2026867

Yanyan Li

Publication date: 21 May 2021

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-020-00911-5

zbMATH Keywords

Chebyshev polynomialsnumerical approximationhybrid methodoperational matricesblock-pulse functionsfractional Bratu differential equation

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Fractional ordinary differential equations (34A08) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A simple solution of the Bratu problem
• An iterative finite difference method for solving Bratu's problem
• The Lie-group shooting method for solving the Bratu equation
• The Liouville-Bratu-Gelfand problem for radial operators
• New reproducing kernel functions
• Application of local fractional series expansion method to solve Klein-Gordon equations on Cantor sets
• A fractional epidemiological model for computer viruses pertaining to a new fractional derivative
• Numerical solutions of fractional integrodifferential equations of Bratu type by using CAS wavelets
• Numerical solution of fractional Bratu type equations with Legendre reproducing kernel method
• Sinc-Galerkin method for numerical solution of the Bratu's problems
• A novel method for a fractional derivative with non-local and non-singular kernel
• A study of behaviour for immune and tumor cells in immunogenetic tumour model with non-singular fractional derivative
• New approach for the model describing the deathly disease in pregnant women using Mittag-Leffler function
• Numerical solution of full fractional Duffing equations with cubic-quintic-heptic nonlinearities
• Analytical study of fractional Bratu-type equation arising in electro-spun organic nanofibers elaboration
• New results on existence in the framework of Atangana-Baleanu derivative for fractional integro-differential equations
• Numerical solutions with linearization techniques of the fractional Harry Dym equation
• A generalization of truncated M-fractional derivative and applications to fractional differential equations
• Optical solitons to the fractional Schrödinger-Hirota equation
• Solution of piecewise constant delay systems using hybrid of block-pulse and Chebyshev polynomials
• Stability Analysis of Distributed Order Hilfer-Prabhakar Differential Equations
• Analytical solutions of some nonlinear fractional‐order differential equations by different methods
• Numerical analysis of fractional differential equation by TSI-wavelet method
• Solutions of fractional gas dynamics equation by a new technique
• A new Rabotnov fractional‐exponential function‐based fractional derivative for diffusion equation under external force
• Solitary solutions for time-fractional nonlinear dispersive PDEs in the sense of conformable fractional derivative

This page was built for publication: Numerical solution of nonlinear fractional Bratu equation with hybrid method