Two reliable methods for solving the Volterra integral equation with a weakly singular kernel
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Publication:268301
DOI10.1016/j.cam.2016.02.004zbMath1416.65557OpenAlexW2253496911MaRDI QIDQ268301
Abdul-Majid Wazwaz, Randolph C. Rach
Publication date: 14 April 2016
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2016.02.004
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An optimized decomposition method for nonlinear ordinary and partial differential equations ⋮ A fuzzy transform method for numerical solution of fractional Volterra integral equations ⋮ Darboux transformations for super-Schrödinger equation, super-Dirac equation and their exact solutions ⋮ A combination of the quasilinearization method and linear barycentric rational interpolation to solve nonlinear multi-dimensional Volterra integral equations ⋮ NUMERICAL SOLUTION OF SINGULAR STOCHASTIC INTEGRAL EQUATIONS OF ABEL’S TYPE USING OPERATIONAL MATRIX METHOD ⋮ A Sparse Spectral Method for Volterra Integral Equations Using Orthogonal Polynomials on the Triangle
Cites Work
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- Solution of a nonlinear time-delay model in biology via semi-analytical approaches
- An efficient algorithm for the multivariable Adomian polynomials
- Convenient analytic recurrence algorithms for the Adomian polynomials
- A convenient computational form for the Adomian polynomials
- Numerical methods for a Volterra integral equation with nonsmooth solutions
- Variational iteration method -- a kind of non-linear analytical technique: Some examples
- Recurrence triangle for Adomian polynomials
- Variational iteration method for solving a generalized pantograph equation
- Multiple-soliton solutions for the Boussinesq equation
- Partial differential equations and solitary waves theory
- Transformation of series
- Nonlinear transformation of series. II
- A modified decomposition
- Solving frontier problems of physics: the decomposition method
- Decomposition methods: A new proof of convergence
- Existence, uniqueness and smoothness results for second-kind Volterra equations with weakly singular kernels
- A new algorithm for calculating Adomian polynomials for nonlinear operators
- Nonlinear equations with mixed derivatives
- Inversion of nonlinear stochastic operators
- A new method for solving singular initial value problems in the second-order ordinary differential equations
- Identifying an unknown function in a parabolic equation with overspecified data via He's variational iteration method
- The use of the decomposition procedure of Adomian for solving a delay differential equation arising in electrodynamics
- A new definition of the Adomian polynomials
- A spectral approach to an integral equation
- Collocation Solutions of a Weakly Singular Volterra Integral Equation
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