A novel operational matrix method for solving singularly perturbed boundary value problems of fractional multi-order

DOI10.1080/00207160.2017.1296574zbMath1390.34035OpenAlexW2589315889MaRDI QIDQ4641580

Kazem Pichaghchi, Khosro Sayevand

Publication date: 17 May 2018

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2017.1296574

zbMATH Keywords

singular perturbationboundary value problemB-splineoperational matrixCaputo fractional derivative

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Spline approximation (41A15) Fractional ordinary differential equations (34A08)

Related Items (10)

Numerical solution of sigularly perturbed parabolic problems by a local kernel-based method with an adaptive algorithm ⋮ A survey on fractional asymptotic expansion method: a forgotten theory ⋮ A robust higher-order finite difference technique for a time-fractional singularly perturbed problem ⋮ A new non-standard finite difference method for analyzing the fractional Navier-Stokes equations ⋮ A robust uniformly convergent finite difference scheme for the time-fractional singularly perturbed convection-diffusion problem ⋮ Existence theory for fractional differential equations with non-separated type nonlocal multi-point and multi-strip boundary conditions ⋮ An accurate and cost-efficient numerical approach to analyze the initial and boundary value problems of fractional multi-order ⋮ Numerical investigation of the time fractional mobile-immobile advection-dispersion model arising from solute transport in porous media ⋮ Analysis of dual Bernstein operators in the solution of the fractional convection-diffusion equation arising in underground water pollution ⋮ A new study on delay fractional variational problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical solution of fractional differential equations using cubic B-spline wavelet collocation method
• Semiorthogonal spline wavelets approximation for Fredholm integro-differential equations
• A brief survey on numerical methods for solving singularly perturbed problems
• Numerical treatment of singularly perturbed two point boundary value problems exhibiting boundary layers
• The Legendre wavelet method for solving fractional differential equations
• Numerical solution of fractional differential equations using the generalized block pulse operational matrix
• Numerical solution of singularly perturbed boundary value problems based on optimal control strategy
• A CAS wavelet method for solving nonlinear Fredholm integro-differential equations of fractional order
• Solving a nonlinear fractional differential equation using Chebyshev wavelets
• A generalized Gronwall inequality and its application to a fractional differential equation
• Haar wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations
• Singular perturbation methods for ordinary differential equations
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Optimal error bounds for cubic spline interpolation
• A practical guide to splines
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Successive approximation: a survey on stable manifold of fractional differential systems
• Singularly perturbed boundary-value problems.
• Numerical approximation of a one-dimensional space fractional advection-dispersion equation with boundary layer
• Solution of nonlinear Fredholm-Hammerstein integral equations by using semiorthogonal spline wavelets
• Generalization of generalized orthogonal polynomial operational matrices for fractional and operational calculus
• Numerical solution of Fokker-Planck equation using the cubic B-spline scaling functions
• Modified Laguerre operational matrices for fractional calculus and applications
• The Effect of Quadrature Errors in the Computation of $L^2 $ Piecewise Polynomial Approximations
• Zur Theorie und Anwendung des Iterationsverfahrens

This page was built for publication: A novel operational matrix method for solving singularly perturbed boundary value problems of fractional multi-order