Using operational matrix for solving nonlinear class of mixed Volterra–Fredholm integral equations
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DOI: 10.1002/mma.4237
Abstract: This paper presents a computational technique for the solution of the nonlinear mixed Volterra–Fredholm integral equations of the second kind. Using the properties of three-dimensional modification of hat functions, these are types of equations to… read more here.
Keywords: using operational; mixed volterra; volterra fredholm; fredholm integral ... See more keywords
An efficient multistep iteration scheme for systems of nonlinear algebraic equations associated with integral equations
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DOI: 10.1002/mma.6202
Abstract: The aim of this research is to present a new iterative procedure in approximating nonlinear system of algebraic equations with applications in integral equations as well as partial differential equations (PDEs). The presented scheme consists… read more here.
Keywords: scheme systems; multistep iteration; efficient multistep; iteration scheme ... See more keywords
Integral equations and model reduction for fast computation of nonlinear periodic response
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DOI: 10.1002/nme.6740
Abstract: We propose a reformulation for a recent integral equations approach to steady‐state response computation for periodically forced nonlinear mechanical systems. This reformulation results in additional speed‐up and better convergence. We show that the solutions of… read more here.
Keywords: response; equations model; model reduction; integral equations ... See more keywords
Nontrivial Solutions of Systems of Hammerstein Integral Equations with First Derivative Dependence
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DOI: 10.1007/s00009-017-1044-1
Abstract: By means of classical fixed point index, we prove new results on the existence, non-existence, localization and multiplicity of nontrivial solutions for systems of Hammerstein integral equations where the nonlinearities are allowed to depend on… read more here.
Keywords: nontrivial solutions; solutions systems; first derivative; hammerstein integral ... See more keywords
The numerical solution of two-dimensional logarithmic integral equations on normal domains using radial basis functions with polynomial precision
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DOI: 10.1007/s00366-017-0502-5
Abstract: The main purpose of this article is to investigate the numerical solution of two-dimensional Fredholm integral equations of the second kind on normal domains, whose kernels have logarithmic singularity. Radial basis functions constructed on scattered… read more here.
Keywords: solution two; normal domains; numerical solution; basis ... See more keywords
A novel Jacob spectral method for multi-dimensional weakly singular nonlinear Volterra integral equations with nonsmooth solutions
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DOI: 10.1007/s00366-020-00953-9
Abstract: The main purpose of this work is to develop a spectrally accurate collocation method for solving weakly singular integral equations of the second kind with nonsmooth solutions in high dimensions. The proposed spectral collocation method… read more here.
Keywords: method; equations nonsmooth; nonsmooth solutions; integral equations ... See more keywords
Fuzzy Bezier splines with application to fuzzy functional integral equations
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DOI: 10.1007/s00500-020-04740-y
Abstract: In this paper, we present the description of fuzzy Bezier splines and as an application we propose an iterative numerical method for approximating the solution of fuzzy functional integral equations of Fredholm type. The convergence… read more here.
Keywords: fuzzy bezier; bezier splines; splines application; functional integral ... See more keywords
Application of radial basis functions in solving fuzzy integral equations
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DOI: 10.1007/s00521-018-3459-4
Abstract: Abstract In the present paper, a numerical method based on radial basis functions (RBFs) is proposed to approximate the solution of fuzzy integral equations. By applying RBF in fuzzy integral equation, a linear system $$\Psi… read more here.
Keywords: radial basis; basis functions; application radial; fuzzy integral ... See more keywords
Five-Body Integral Equations and Solution of the $$\varvec{\eta -4N}$$η-4N Problem
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DOI: 10.1007/s00601-020-01551-7
Abstract: The Alt–Grassberger–Sandhas equations for the five-body problem are solved for the case of the driving two-body potentials limited to s-waves. The separable pole expansion method is employed to convert the equations into the effective quasi-two-body… read more here.
Keywords: body integral; equations solution; five body; integral equations ... See more keywords
A Nyström method for a class of Fredholm integral equations on the real semiaxis
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DOI: 10.1007/s10092-016-0199-7
Abstract: A class of Fredholm integral equations of the second kind, with respect to the exponential weight function $$w(x)=\exp (-(x^{-\alpha }+x^\beta ))$$w(x)=exp(-(x-α+xβ)), $$\alpha >0$$α>0, $$\beta >1$$β>1, on $$(0,+\infty )$$(0,+∞), is considered. The kernel k(x, y) and the… read more here.
Keywords: integral equations; fredholm integral; class fredholm; nystr method ... See more keywords
Analysis of collocation methods for nonlinear Volterra integral equations of the third kind
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DOI: 10.1007/s10092-019-0304-9
Abstract: We study the approximation of solutions of a class of nonlinear Volterra integral equations (VIEs) of the third kind by using collocation in certain piecewise polynomial spaces. If the underlying Volterra integral operator is not… read more here.
Keywords: integral equations; volterra integral; third kind; collocation ... See more keywords