Abstract
The main aim of this paper is to use the operational matrices of fractional integration of Haar wavelets to find the numerical solution for a nonlinear system of two-dimensional fractional partial Volterra integral equations. To do this, first we present the operational matrices of fractional integration of Haar wavelets. Then we apply these matrices to solve systems of two-dimensional fractional partial Volterra integral equations (2DFPVIE). Also, we present the error analysis and convergence as well. At the end, some numerical examples are presented to demonstrate the efficiency and accuracy of the proposed method.
References
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© 2021 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Lagrangian multipliers for generalized affine and generalized convex vector optimization problems of set-valued maps
- Perturbations on K-fusion frames
- Integral solutions of nondense impulsive conformable-fractional differential equations with nonlocal condition
- Fixed point theorems for a new generalization of contractive maps in incomplete metric spaces and its application in boundary value problems
- Construction of complex potentials for multiply connected domain
- Solution of a transport equation with discontinuous coefficients
- Solving systems of fractional two-dimensional nonlinear partial Volterra integral equations by using Haar wavelets
- Translation uniqueness of phase retrieval and magnitude retrieval of band-limited signals
- Robust synchronization of chaotic fractional-order systems with shifted Chebyshev spectral collocation method
- M-projective curvature tensor on an (LCS)2n+1-manifold
- An adapted integration method for Volterra integral equation of the second kind with weakly singular kernel
- z-arcs in the thirty degrees sector
Articles in the same Issue
- Frontmatter
- Lagrangian multipliers for generalized affine and generalized convex vector optimization problems of set-valued maps
- Perturbations on K-fusion frames
- Integral solutions of nondense impulsive conformable-fractional differential equations with nonlocal condition
- Fixed point theorems for a new generalization of contractive maps in incomplete metric spaces and its application in boundary value problems
- Construction of complex potentials for multiply connected domain
- Solution of a transport equation with discontinuous coefficients
- Solving systems of fractional two-dimensional nonlinear partial Volterra integral equations by using Haar wavelets
- Translation uniqueness of phase retrieval and magnitude retrieval of band-limited signals
- Robust synchronization of chaotic fractional-order systems with shifted Chebyshev spectral collocation method
- M-projective curvature tensor on an (LCS)2n+1-manifold
- An adapted integration method for Volterra integral equation of the second kind with weakly singular kernel
- z-arcs in the thirty degrees sector