Results 51 to 60 of about 2,299 (162)
Orthogonal-Based Second Order Hybrid Initial Value Problem Solver
Fountain Journal of Natural and Applied Sciences (FUJNAS), 2016 This work focuses on development of an initial value problem solver by employing a new class of orthogonal polynomial, the basis function. We present the recursive formula of the class of polynomials constructed and adopt collocation technique to ...
E. O. Adeyefa +3 more
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Fractal and FractionalSolving fractional differential equations using spectral collocation methods based on classical orthogonal polynomials often leads to a reduced convergence rate due to the limited regularity of the solutions.
Amal Alshabanat +3 more
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Open Physics, 2020 The present study aims to design a second-order nonlinear Lane–Emden coupled functional differential model and numerically investigate by using the famous spectral collocation method.
Abdelkawy Mohamed A. +3 more
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A powerful numerical technique for treating twelfth-order boundary value problems
Open Physics, 2020 In this article, a fast algorithm is developed for the numerical solution of twelfth-order boundary value problems (BVPs). The Haar technique is applied to both linear and nonlinear BVPs.
Amin Rohul +6 more
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Abstract and Applied Analysis, 2013 The idea of approximation by monomials together with the collocation technique over a uniform mesh for solving state-space analysis and optimal control problems (OCPs) has been proposed in this paper.
Emran Tohidi +2 more
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A numerical technique based on collocation method for solving modified Kawahara equation
Journal of Ocean Engineering and Science, 2018 In this article, a numerical solution of the modified Kawahara equation is presented by septic B-spline collocation method. Applying the von-Neumann stability analysis, the present method is shown to be unconditionally stable. L2 and L∞ error norms and conserved quantities are given at selected times.
Ak, Turgut, Karakoc, S. Battal Gazi
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A New Technique for Solving Fractional Order Systems: Hermite Collocation Method
Applied Mathematics, 2016 In this study, we establish an approximate method which produces an approximate Hermite polynomial solution to a system of fractional order differential equations with variable coefficients. At collocation points, this method converts the mentioned system into a matrix equation which corresponds to a system of linear equations with unknown Hermite ...
Pırım, Nilay Akgonullu, Ayaz, Fatma
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A numerical method for solving systems of higher order linear functional differential equations
Open Physics, 2016 Functional differential equations have importance in many areas of science such as mathematical physics. These systems are difficult to solve analytically.In this paper we consider the systems of linear functional differential equations [1-9] including ...
Yüzbasi Suayip +2 more
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Buckling behaviour of cross-ply laminated plates by a higher-order shear deformation theory
Science and Engineering of Composite Materials, 2012 In this article, Carrera’s Unified Formulation (CUF) is combined with a radial basis function collocation technique. A higher-order theory that considers deformations in the thickness direction was developed under CUF to predict the buckling behaviour of
Neves Ana M.A. +6 more
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Annals of Nuclear EnergyA novel node collocation approach for the application of radial basis function meshless methods in neutron diffusion equations is presented in this paper. By introducing ghost nodes, the number and position of external nodes can be flexibly controlled to investigate their impact on the ill-conditioning of the coefficient matrix and the solution ...
Yiyang Luo +6 more
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