Localized boundary-domain singular integral equations based on harmonic parametrix for divergence-form elliptic PDEs with variable matrix coefficients [PDF]
This is the post-print version of the Article. The official publised version can be accessed from the links below. Copyright @ 2013 Springer BaselEmploying the localized integral potentials associated with the Laplace operator, the Dirichlet, Neumann and
Mikhailov, SE +2 more
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Analysis of direct segregated boundary-domain integral equations for variable-coefficient mixed bvps in exterior domains [PDF]
This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2013 World Scientific Publishing.Direct segregated systems of boundary-domain integral equations are formulated for the mixed (
Mikhailov, SE +2 more
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An Approximate Solutions of Fuzzy Linear Fredholm Integral Equations [PDF]
The main aims of this paper are studying and modifying an approximate to solvefuzzy linear integral equations of Fredholm type.Two different Kinds of fuzzy functions are used to transform the ordinary linearintegral equations of Fredholm type to the ...
Nuha Abduljabbar Rajab +1 more
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In this paper, numerical solution of the linear second kind Fredholm integral equations is studied. These integral equations are widely used for solving many problems in mathematical physics and engineering.
Mohamed Ramadan, Heba S. Osheba
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Localized boundary-domain integral formulations for problems with variable coefficients [PDF]
Specially constructed localized parametrixes are used in this paper instead of a fundamental solution to reduce a boundary value problem with variable coefficients to a localized boundary-domain integral or integro-differential equation (LBDIE or LBDIDE).
S.E. Mikhailov, Mikhailov, SE
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Upadhyaya integral transform: A tool for solving non-linear Volterra integral equations [PDF]
These days, integral equations govern a wide range of physical processes, including those related to electricity, mechanics, fluid dynamics, ecology, soil moisture dynamics, shallow water wave propagation, and chemical science.
Hossein Jafari, Sudhanshu Aggarwal
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Analysis of some localized boundary-domain integral equations for transmission problems with variable coefficients [PDF]
This is the post-print version of the Article. The official published version can be found at the links below - Copyright @ 2011 Birkhäuser Boston.Some segregated systems of direct localized boundary-domain integral equations (LBDIEs) associated with ...
Mikhailov, SE +4 more
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In this paper, we present some results of coupled fixed points for the system of non-linear integral equations in Banach space. Our results enlarge the results of newer papers.
Rakesh Kumar +3 more
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On Some Classes of Linear Volterra Integral Equations
The sufficient conditions are obtained for the existence and uniqueness of continuous solution to the linear nonclassical Volterra equation that appears in the integral models of developing systems.
Anatoly S. Apartsyn
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MODIFIED QUASI SIMPS0N 'S 3/8 RULE FOR SOLVING SYSTEM OF INTEGRAL EQUATION OF THE SECOND KIND LINEAR [PDF]
Actually, it is possible to solve systems of integral equation by using many approaches. However, in this study, the modified quasi Simpson's 3/8 rule used to find the numerical solution of a system of linear Volterra integral equations of the second ...
Mohammed Yosuf Turki
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