Numerical solutions of Volterra integral equation with weakly singular kernel using SCW method

DOI10.1016/j.amc.2015.03.065zbMath1410.65513OpenAlexW1994152114MaRDI QIDQ1643038

Yanxin Wang, L. Zhu

Publication date: 18 June 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.03.065

zbMATH Keywords

fractional calculusoperational matrixweakly singular Volterra integral equationsblock pulse functionsSCW

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Volterra integral equations (45D05)

Related Items (13)

Solving nonlinear Volterra integro-differential equations of fractional order by using Euler wavelet method ⋮ Sine-cosine wavelet operational matrix of fractional order integration and its applications in solving the fractional order Riccati differential equations ⋮ A priori error analysis of a stabilized finite-element scheme for an elliptic equation with time-dependent boundary conditions ⋮ Hermite multiwavelets representation for the sparse solution of nonlinear Abel's integral equation ⋮ Second Chebyshev wavelets (SCWs) method for solving finite-time fractional linear quadratic optimal control problems ⋮ Solution of nonlinear Volterra integral equations with weakly singular kernel by using the HOBW method ⋮ A novel method for linear and nonlinear fractional Volterra integral equations via cubic hat functions ⋮ On the weakly singular integro-differential nonlinear Volterra equation depending in acceleration term ⋮ Unnamed Item ⋮ New approximation method for Volterra nonlinear integro-differential equation ⋮ SCW method for solving the fractional integro-differential equations with a weakly singular kernel ⋮ Analytical and numerical study for an integro-differential nonlinear Volterra equation with weakly singular kernel ⋮ A numerical algorithm for a class of nonlinear fractional Volterra integral equations via modified hat functions

Cites Work

• Numerical solutions of weakly singular Volterra integral equations using the optimal homotopy asymptotic method
• Solving fractional nonlinear Fredholm integro-differential equations by the second kind Chebyshev wavelet
• The second kind Chebyshev wavelet method for solving fractional differential equations
• Selected problems of fractional systems theory.
• Kronecker operational matrices for fractional calculus and some applications
• Superconvergence of collocation methods for a class of weakly singular Volterra integral equations
• Collocation and iterated collocation methods for a class of weakly singular Volterra integral equations
• An extrapolation method for a Volterra integral equation with weakly singular kernel
• High order product integration methods for a Volterra integral equation with logarithmic singular kernel
• Numerical solution of nonlinear fractional-order Volterra integro-differential equations by SCW
• Tau approximate solution of weakly singular Volterra integral equations
• A Nyström interpolant for some weakly singular linear Volterra integral equations
• On a graded mesh method for a class of weakly singular Volterra integral equations
• An efficient numerical method for solving Abel integral equation
• Second Chebyshev wavelet operational matrix of integration and its application in the calculus of variations
• Fast wavelet transforms and numerical algorithms I
• Collocation Methods for Weakly Singular Second-kind Volterra Integral Equations with Non-smooth Solution
• Numerical Solution of First-Kind Volterra Equations by Sequential Tikhonov Regularization

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