Solution of nonlinear Volterra-Hammerstein integral equations via single-term Walsh series method.
Sepehrian, B., Razzaghi, M. (2005)
Mathematical Problems in Engineering
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Displaying similar documents to “Block-by-block method for solving nonlinear Volterra-Fredholm integral equation.”
Solution of nonlinear Volterra-Hammerstein integral equations via single-term Walsh series method.
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R. Smarzewski (1976)
Applicationes Mathematicae
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Biorthogonal systems approximating the solution of the nonlinear Volterra integro-differential equation.
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Colloquium Mathematicae
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Bogdan Rzepecki (1976)
Annales Polonici Mathematici
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Solution of nonlinear Volterra-Hammerstein integral equations via rationalized Haar functions.
Razzaghi, M., Ordokhani, Y. (2001)
Mathematical Problems in Engineering
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Numerical method for the mixed Volterra-Fredholm integral equations using hybrid Legendre functions
Nemati, S., Lima, P., Ordokhani, Y.
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A new method is proposed for the numerical solution of linear mixed Volterra-Fredholm integral equations in one space variable. The proposed numerical algorithm combines the trapezoidal rule, for the integration in time, with piecewise polynomial approximation, for the space discretization. We extend the method to nonlinear mixed Volterra-Fredholm integral equations. Finally, the method is tested on a number of problems and numerical results are given.
An approximate solution of some Volterra integral equation with a smooth kernel
M. Niedziela (2008)
Applicationes Mathematicae
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The behaviour near the origin of nontrivial solutions to integral Volterra equations with a power nonlinearity is studied. Estimates of nontrivial solutions are given and some numerical examples are considered.
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Falaleev, M.V., Sidorov, N.A., Sidorov, D.N. (2005)
Lobachevskii Journal of Mathematics
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A Volterra inequality with the power type nonlinear kernel.
Mydlarczyk, W. (2001)
Journal of Inequalities and Applications [electronic only]
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W. Okrasinski (1993)
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W. Mydlarczyk (1991)
Annales Polonici Mathematici
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Jesús M. Fernández Castillo, W. Okrasinski (1991)
Extracta Mathematicae
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In mathematical models of some physical phenomena a new class of nonlinear Volterra equations appears ([5],[6]). The equations belonging to this class have u = 0 as a solution (trivial solution), but with respect to their physical meaning, nonnegative nontrivial solutions are of prime importance.