[PDF] Top 20 A computational method for nonlinear mixed Volterra-Fredholm integral equations

... [9,11]. Equations of this type arise in the theory of nonlinear parabolic boundary value problems, the mathematical model of the spatiotemporal development of an epidemic and an various physical, me- ... See full document

... Our method is based upon Bernoulli wavelets approximation. The Bernoulli wavelets are first given. We then present the operational matrix of fractional integration for Bernoulli wavelets by expanding these wavelets ... See full document

... is Fredholm integral term and second integral in ...is Volterra integral ...solving nonlinear Fredholm-Volterra integral ...perturbation method [10], ... See full document

... Gauss-Seidel method for solving one dimensional Fredholm integral ...The nonlinear system of equations (4) has also a structure that permits us to approximate its solution by a similar ... See full document

... an integral equation. Common methods used in application are the method of Galerkin, collocation and ...an integral reformulation results in linear or nonlinear integral ...linear ... See full document

... Solving nonlinear mixed Volterra-Fredholm integral equations with two dimensional block-pulse functions using direct ...Commun Nonlinear Sci Numer ...point method ... See full document

... regularization method to convert the mixed system (39) to the system of the second kind integral ...kind integral equation will be solved by the proposed numerical scheme in section 4 with M 1 ... See full document

... solving nonlinear Volterra-Fredholm fractional integro-differential equations with mixed boundary ...kind Fredholm integral equation. Then the obtained Fredholm ... See full document

... perturbation method [10], the triangular-function method [14], varia- tional iteration method [11, 20] and the Adomian decomposition method [1, 5, 20], and many methods for solving integro ... See full document

... 3 cos(s − t) x 2 (t)dt = y(s), (49) where, y(s) = 2 sin s cos s, with the initial condition x(0) = 1, and the exact solution x(s) = cos s, Table 4 shows the numerical results. Example 5. As the final example, we solve an ... See full document

... functional equations [25] “Under what conditions there exist an additive mapping near an approximately additive mapping?” and its first attempt by Hyers [8] in the case of Banach spaces is well ...and ... See full document

... a computational method for solving two types of integro-differential equations, system of nonlinear high order Volterra-Fredholm integro-differential equation(VFIDEs) and ... See full document

... Linear mixed Volterra-Fredholm integral equations of the second kind (LMVFIE's) are introduced to solve (LMVFIE's) based on some ...3/8 method, Durand’s method and Weddle ... See full document

... solving Volterra-Fredholm integral equations, many methods with enough accuracy and efficiency have been used before by many researches [6, 7, 8, 9, 10, 11, 12, 13, 14, ...of ... See full document

... In this paper, we applied (LADM) for solution two dimensional linear mixed integral equations of type Volterra- Fredholm with Hilbert kernel. Additionally, comparison was made with ... See full document

... Aitken's method has been applied successfully on fixed-point method to find the solution of our integral equation, where the first three approximations are computed by fixed-point method and ... See full document

... stochastic integral equations are important in the study of many physical phenomena in life sciences, engineering, and technology ...stochastic integral equations being studied by mathematical ... See full document

... N ), (2.8) and double prime means that the first and the last terms are halved. The system (2.7) consist of N+1 nonlinear equations which can be solved by usual iterative method such as Newton’s ... See full document

... The integral equation method is widely used for solving many problems in mathematical physics and ...a computational method for solving nonlinear Fredholm-Volterra ... See full document

... We conclude this section with a comment regarding the extension of the results of Theorem 1 to the nonlinear Equation (1). Under the assumption of the existence of a (unique) solution y t   on I, the ... See full document