Results 261 to 270 of about 392,374 (316)

Fractional oscillator equation – Transformation into integral equation and numerical solution

Applied Mathematics and Computation, 2015
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Blaszczyk, Tomasz, Ciesielski, Mariusz
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Integral Transforms in Computational Heat and Fluid Flow

, 1993
INTRODUCTION THE CLASSICAL INTEGRAL TRANSFORM TECHNIQUE General Solution for a Base Problem - Parabolic System Steady Multidimensional Problem - Elliptic System Eigenvalue Problem SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS Linear Systems Numerical ...
Renato Machado Cotta
semanticscholar   +1 more source

Fuzzy Transform for Fuzzy Fredholm Integral Equation

2021
This work pursues two goals: to solve a fuzzy Fredholm integral equation of the second kind and to propose a new numerical method inspired by the theory of fuzzy (F-) transforms. This approach allows us to transform the fuzzy Fredholm integral equation into a system of algebraic equations. The solution to this algebraic system determines an approximate
Irina Perfilieva, Pham Thi Minh Tam
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Chelyshkov polynomials strategy for solving 2-dimensional nonlinear Volterra integral equations of the first kind

Computational and Applied Mathematics, 2022
A. Mahdy, D. Shokry, K. Lotfy
semanticscholar   +1 more source

Integral equation method for effecting Kinnersley-Chitre transformations

Physical Review D, 1979
The construction of spinning mass solutions of Einstein's vacuum field equations, which can be obtained by applying Kinnersley-Chitre transformations to known solutions, is facilitated by our discovery of a linear integral equation of the Cauchy type, the solution of which yields directly the generating function $F(t)$ of the Kinnersley-Chitre ...
Isidore Hauser, Frederick J. Ernst
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Integral Transforms and Differential Equations

1999
The discussion in Chap. 15 introduced a general method of solving differential equations by power series—also called the Frobenius method—which gives a solution that converges within a circle of convergence. In general, this circle of convergence may be small; however, the function represented by the power series can be analytically continued using ...
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Nonlinear Transformations and Integrable Evolution Equations

Fortschritte der Physik/Progress of Physics, 1983
The transformation properties of the partial differential equations integrable by the inverse scattering transform method are considered. It is shown that the nonlinear transformations characteristic to the integrable equations (symmetry groups, Backlund-transformations) and integrable equations themselves are contained in certain universal nonlinear ...
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A Unitary Transform Related to Some Integral Equations

SIAM Journal on Mathematical Analysis, 1970
The integral equations \[ F(x) = \frac{d}{{dx}}\int_0^x {J_0 [2\sqrt {k(x - t)} ]f(t)dt} \] and \[ G(x) = \frac{d}{{dx}}\int_x^\infty {J_0 [2\sqrt {k(t - x)} ]g(t)dt} \] are usually considered separately, and their solutions \[ f(x) = \frac{d}{{dx}}\int_0^x {I_0 [2\sqrt {k(x - t)} ]F(t)dt} \] and \[ g(x) = \frac{d} {{dx}}\int_x^\infty {I_0 [2\sqrt {k(t
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Integral transforms associated with some nonlinear equations

Physics Letters A, 1983
Abstract Generalised integral transforms associated with nonlinear partial differential equations are introduced on the examples of 2+1 Kadomtsev-Petviashvili and simply related 1+1 equations. They involve the solutions of two distinct linear systems from which they are deduced through compatibility requirements and in connection with adjointness ...
J.Y. Pasquier, R. Pasquier
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Linearizing integral transform and partial difference equations

Physics Letters A, 1984
A linearizing integral transform is proposed which relates solutions of a spectral problem associated with a class of integrable partial difference equations to any given solution of the spectral problem. Examples of this class are lattice versions of the isotropic Heisenberg spin chain, the nonlinear Schrodinger equation and the (complex) sine-Gordon ...
F.W. Nijhoff, H.W. Capel, G.L. Wiersma, G.R.W. Quispel   +3 more
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