Results 31 to 40 of about 426,153 (290)
Numerical Study of Two-Dimensional Volterra Integral Equations by RDTM and Comparison with DTM
Abstract and Applied Analysis, 2013 The two-dimensional Volterra integral equations are solved using more recent semianalytic method, the reduced differential transform method (the so-called RDTM), and compared with the differential transform method (DTM).
Reza Abazari, Adem Kılıçman
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Existence of solutions for a class of nonlinear Volterra integro-dynamic equations on time scales [PDF]
Arab Journal of Mathematical SciencesPurposeThis paper encompasses recent developments on a class of nonlinear Volterra integro-dynamic equations on arbitrary time scales. More precisely, we provide some conditions under which the considered equations have at least one, at least two and at ...
Svetlin Georgiev, Youssef N. Raffoul
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Exact solutions for the fractional differential equations by using the first integral method
Nonlinear Engineering, 2015 In this paper, we apply the first integral method to study the solutions of the nonlinear fractional modified Benjamin-Bona-Mahony equation, the nonlinear fractional modified Zakharov-Kuznetsov equation and the nonlinear fractional Whitham-Broer-
Aminikhah Hossein +2 more
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Milne quantization for non-Hermitian systems [PDF]
, 2015 We generalize the Milne quantization condition to non-Hermitian systems. In the general case the underlying nonlinear Ermakov–Milne–Pinney equation needs to be replaced by a nonlinear integral differential equation.
Andreas Fring +8 more
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AIMS MathematicsPicard's three step iteration algorithm was one of the iteration algorithms that was recently shown to be faster than some other iterative algorithms in the existing literature.
Lale Cona
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Non-Associative Structures and Their Applications in Differential Equations
Mathematics, 2023 This article establishes a connection between nonlinear DEs and linear PDEs on the one hand, and non-associative algebra structures on the other. Such a connection simplifies the formulation of many results of DEs and the methods of their solution.
Yakov Krasnov
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A Simple Approach to Volterra-Fredholm Integral Equations [PDF]
Journal of Applied and Computational Mechanics, 2020 This paper suggests a simple analytical method for Volterra-Fredholm integral equations, the solution process is similar to that by variational-based analytical method, e.g., Ritz method, however, the method requires no establishment of the variational ...
Ji-Huan He
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Advances in Mathematical Physics, 2023 In this study, the Fredholm hypersingular integral equation of the first kind with a singular right-hand function on the interval −1,1 is solved. The discontinuous solution on the domain −1,1 is approximated by a piecewise polynomial, and a collocation ...
M. R. Elahi +3 more
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Mathematical methods in the applied sciences, 2019 This paper aims to develop a novel numerical approach on the basis of B‐spline collocation method to approximate the solution of one‐dimensional and two‐dimensional nonlinear stochastic quadratic integral equations.
Farshid Mirzaee, S. Alipour
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Positive Solutions for Coupled Nonlinear Fractional Differential Equations
Journal of Applied Mathematics, 2014 We consider the existence of positive solutions for a coupled system of nonlinear fractional differential equations with integral boundary values. Assume the nonlinear term is superlinear in one equation and sublinear in the other equation.
Wenning Liu, Xingjie Yan, Wei Qi
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