scientific article

zbMath1424.45012MaRDI QIDQ3119773

Kourosh Parand, Mehdi Delkhosh

Publication date: 13 March 2019

Full work available at URL: http://www.spm.uem.br/bspm/pdf/vol36-4/Art3-4.pdf

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

collocation methodVolterra integro-differential equationsoperational matrixfractional order of Chebyshev functionssystem of nonlinear IDE

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Fractional derivatives and integrals (26A33) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Systems of nonlinear integral equations (45G15) Volterra integral equations (45D05)

Related Items (10)

روش ماتریسی جدید برای حل تقریبی یک مدل جدید لین-اِمدن منفرد ⋮ Two new modifications of the exp-function method for solving the fractional-order Hirota-Satsuma coupled KdV ⋮ LADM procedure to find the analytical solutions of the nonlinear fractional dynamics of partial integro-differential equations ⋮ Existence of three solutions for perturbed nonlinear fractional \(p\)-Laplacian boundary value systems with two control parameters ⋮ Infinite existence solutions of fractional systems with Lipschitz nonlinearity ⋮ On existence of sequences of weak solutions of fractional systems with Lipschitz nonlinearity ⋮ Multiplicity solutions of fractional impulsive \(p\)-Laplacian systems: new result ⋮ A comparison of Newton-Raphson method with Newton-Krylov generalized minimal residual (GMRes) method for solving one and two dimensional nonlinear Fredholm integral equations ⋮ Numerical simulation of Volterra-Fredholm integral equations using least squares support vector regression ⋮ A hybrid numerical method to solve nonlinear parabolic partial differential equations of time-arbitrary order

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solving Volterra's population growth model of arbitrary order using the generalized fractional order of the Chebyshev functions
• Rational Chebyshev pseudospectral approach for solving Thomas-Fermi equation
• A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order
• Systems of nonlinear Volterra integro-differential equations
• Solutions to integro-differential systems arising in hydrodynamic models for charged transport in semiconductors
• Solving a system of nonlinear integral equations by an RBF network
• Solving frontier problems of physics: the decomposition method
• Rational Chebyshev tau method for solving Volterra's population model.
• Fractional-order Legendre functions for solving fractional-order differential equations
• Application of Sumudu decomposition method to solve nonlinear system Volterra integrodifferential equations
• The operational matrix of fractional integration for shifted Chebyshev polynomials
• Solving the nonlinear Schlomilch's integral equation arising in ionospheric problems
• Numerical solution of the system of nonlinear Volterra integro-differential equations with nonlinear differential part by the operational tau method and error estimation
• Numerical methods for nonlinear partial differential equations of fractional order
• Chebyshev polynomials and best approximation of some classes of functions
• Numerical approximations for population growth model by rational Chebyshev and Hermite functions collocation approach: A comparison
• Numerical solution of hyperbolic telegraph equation using the Chebyshev tau method
• Nonlinear integrodifferential equations as discrete systems
• Stability of linear time-periodic delay-differential equations via Chebyshev polynomials

This page was built for publication: