Biorthogonal systems approximating the solution of the nonlinear Volterra integro-differential equation.
Berenguer, M.I., Garralda-Guillem, A.I., Galán, M.Ruiz (2010)
Fixed Point Theory and Applications [electronic only]
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Displaying similar documents to “Analytical techniques for a numerical solution of the linear Volterra integral equation of the second kind.”
Biorthogonal systems approximating the solution of the nonlinear Volterra integro-differential equation.
Nonlinear Volterra integral equation of the second kind and biorthogonal systems.
Berenguer, M.I., Gámez, D., Garralda-Guillem, A.I., Pérez, M.C.Serrano (2010)
Abstract and Applied Analysis
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Numerical treatment of fixed point applied to the nonlinear Fredholm integral equation.
Berenguer, M.I., Muñoz, M.V.Fernández, Guillem, A.I.Garralda, Galán, M.Ruiz (2009)
Fixed Point Theory and Applications [electronic only]
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Numerical solvability of a class of Volterra-Hammerstein integral equations with noncompact kernels.
Hadizadeh, M., Mohamadsohi, M. (2005)
Journal of Applied Mathematics
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Convergence analysis of piecewise continuous collocation methods for higher index integral algebraic equations of the Hessenberg type
Babak Shiri, Sedaghat Shahmorad, Gholamreza Hojjati (2013)
International Journal of Applied Mathematics and Computer Science
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In this paper, we deal with a system of integral algebraic equations of the Hessenberg type. Using a new index definition, the existence and uniqueness of a solution to this system are studied. The well-known piecewise continuous collocation methods are used to solve this system numerically, and the convergence properties of the perturbed piecewise continuous collocation methods are investigated to obtain the order of convergence for the given numerical methods. Finally, some numerical...
Existence and approximate solutions of nonlinear integral equations.
Karoui, Abderrazek (2005)
Journal of Inequalities and Applications [electronic only]
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On the stability of numerical methods for nonlinear Volterra integral equations.
Messina, E., Muroya, Y., Russo, E., Vecchio, A. (2010)
Discrete Dynamics in Nature and Society
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Block-by-block method for solving nonlinear Volterra-Fredholm integral equation.
Badr, Abdallah A. (2010)
Mathematical Problems in Engineering
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Polynomial spline collocation methods for second-order Volterra integrodifferential equations.
Rawashdeh, Edris, McDowell, David, Rakesh, Leela (2004)
International Journal of Mathematics and Mathematical Sciences
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Global error estimation in the numerical solution of retarded differential equations by Euler's method
Zdzisław Jackiewicz (1983)
Aplikace matematiky
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In this paper Zadunaisky's technique is used to estimate the global error propagated in the numerical solution of the system of retarded differential equations by Euler's method. Some numerical examples are given.