Results 61 to 70 of about 9,356,932 (171)
Homotopy perturbation method for the hypersingular integral equations of the first kind
Ain Shams Engineering Journal, 2018 Simple and efficient convex homotopy perturbation method (HPM) is presented to obtain an approximate solution of hyper-singular integral equations of the first kind. Convergence and error estimate of HPM are obtained.
Zainidin K. Eshkuvatov +3 more
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Revista Brasileira de Ensino de FísicaThe Green's function method has applications in several fields in Physics, from classical differential equations to quantum many-body problems. In the quantum context, Green's functions are correlation functions, from which it is possible to extract ...
Mariana M. Odashima +2 more
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A Novel Method for Solving KdV Equation Based on Reproducing Kernel Hilbert Space Method
Abstract and Applied Analysis, 2013 We propose a reproducing kernel method for solving the KdV equation with initial condition based on the reproducing kernel theory. The exact solution is represented in the form of series in the reproducing kernel Hilbert space.
Mustafa Inc, Ali Akgül, Adem Kiliçman
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Existence, Uniqueness and Convergence Solution of Nonlinear Caputo-Fabrizio Fractional Biological Population Model [PDF]
Sahand Communications in Mathematical AnalysisThis paper studies a fractional biological population model involving the Caputo-Fabrizio fractional derivative. We establish the existence and uniqueness of the solution using Banach's fixed point theorem.
Ali Khalouta
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A Nonlinear Splitting Algorithm for Systems of Partial Differential Equations with self-Diffusion [PDF]
, 2015 Systems of reaction-diffusion equations are commonly used in biological models of food chains. The populations and their complicated interactions present numerous challenges in theory and in numerical approximation.
Beauregard, Matthew +2 more
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NUMERICAL COMPUTATIONS OF THE FRACTIONAL DERIVATIVE IN IVPS, EXAMPLES IN MATLAB AND MATHEMATICA
Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska, 2017 The paper concerns a numerical method that deals with the computations of the fractional derivative in Caputo and Riemann-Liouville definitions. The method can be applied in time stepping processes of initial value problems.
Marcin Sowa
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Discontinuous modelling of crack propagation in a gradient-enhanced continuum [PDF]
, 2002 A numerical model for the description of the combined continuous/discontinuous failure in a regularised strain-softening continuum is proposed. The continuum is regularised through the introduction of gradient terms into the constitutive equations.
Simone, A, Sluys, LJ, Wells, GN
core
Scientific ReportsA simple, effective and high-precision boundary meshfree method called virtual boundary meshfree Galerkin method (VBMGM) is used to tackle 2D anisotropic heat conduction problems with complex boundaries. Temperature and heat flux are expressed by virtual
Jing Ling, Dongsheng Yang
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Analysis of large elastic-plastic deformations: Integration algorithm and numerical examples
Учёные записки Казанского университета: Серия Физико-математические науки, 2017 An algorithm for investigation of elastic-plastic solids with regard to finite deformations has been developed. The kinematics of elastic-plastic deformations is based on multiplicative decomposition of the deformation gradient into elastic and inelastic
L.U. Sultanov
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Biomath, 2016 An inverse numerical method that estimate parameters of dynamic mathematical models given some information about unknown trajectories at some time is applied to examples taken from Biology and Ecology.
A.N. Pete +3 more
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