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A New Analytical Method for Solving the Fractional Swift-Hohenberg Equation with Atangana-Baleanu Derivative. [PDF]
Khalid Kareem J +2 more
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Using a meshless method to investigate the effects of confining pressure on the hydraulic fracturing processes of hydraulic tunnels. [PDF]
Zhang H +7 more
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Numerical methods for Fredholm integral equations on the square
Applied Mathematics and Computation, 2011The paper is devoted to the construction and investigation of numerical methods for two-dimensional Fredholm integral equations on a square. The problem is considered in a weighted setting, allowing the given functions and the unknown solutions to have weak singularities at the boundaries of the fundamental domain. Two concrete approaches are followed,
Donatella Occorsio, Maria Grazia Russo
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Numerical methods for solving integral equations of potential problems
Information Processing Letters, 1975S. De Wolf, G. De Mey
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An integral equation method for the numerical solution of the Burgers equation
Computers & Mathematics with Applications, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Egidi N., Maponi P., Quadrini M.
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Numerical method for a nonlinear boundary integral equation
Applied Mathematics and Computation, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khosrow Maleknejad, Hamid Mesgrani
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Numerical Methods for Fredholm Integral Equations
2021There exists a huge literature on numerical methods for Fredholm integral equations of second kind, where I is a bounded or unbounded interval. The Nystrom method is a very famous method and based on an appropriate quadrature rule applied to the integral and on considering the integral equation in the space of (bounded) continuous functions on I.
Peter Junghanns +2 more
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On a numerical method for resolution of integral equations
Journal of Numerical Mathematics, 2006The author considers the integral equation \(\int_0^aK(x-t)f(t)dt=g(x), 0 \leq x \leq a\), and discusses the use of a family of numerical methods, which are particular cases of the general Galerkin method, to find approximate solutions to equations of this type.
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