Hybrid rational Haar wavelet and block pulse functions method for solving population growth model and Abel integral equations

DOI10.1155/2017/2465158zbMath1426.65090OpenAlexW2574600023WikidataQ59147403 ScholiaQ59147403MaRDI QIDQ1992504

E. Fathizadeh, Khosrow Maleknejad, Reza Ezzati

Publication date: 5 November 2018

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/2465158

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Fractional ordinary differential equations (34A08)

Related Items (5)

Triangular functions for numerical solution of the nonlinear Volterra integral equations ⋮ On the numerical solution of a population growth model of a species living in a closed system based on the moving least squares scheme ⋮ Gegenbauer wavelet quasi‐linearization method for solving fractional population growth model in a closed system ⋮ Unnamed Item ⋮ A method for solving nonlinear Volterra's population growth model of noninteger order

Cites Work

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• The construction of operational matrix of fractional derivatives using B-spline functions
• The second kind Chebyshev wavelet method for solving fractional differential equations
• Legendre wavelets method for solving fractional population growth model in a closed system
• The Legendre wavelet method for solving fractional differential equations
• A CAS wavelet method for solving nonlinear Fredholm integro-differential equations of fractional order
• Solving a nonlinear fractional differential equation using Chebyshev wavelets
• Kronecker operational matrices for fractional calculus and some applications
• Haar wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations
• Fractals and fractional calculus in continuum mechanics
• Analytical approximations and Padé approximants for Volterra's population model
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Wavelet operational matrix method for solving fractional differential equations with variable coefficients
• Long memory processes and fractional integration in econometrics
• Analytical study of nonlinear fractional-order integrodifferential equation: revisit Volterra's population model
• Haar wavelet method for solving fractional partial differential equations numerically
• Two-dimensional Legendre wavelets for solving fractional Poisson equation with Dirichlet boundary conditions
• Numerical approximations for population growth model by rational Chebyshev and Hermite functions collocation approach: A comparison
• An operational Haar wavelet method for solving fractional Volterra integral equations
• The Fourier series operational matrix of integration
• Laguerre series approach to the analysis of a linear control system incorporating observers
• Design of piecewise constant gains for optimal control via Walsh functions

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