A quadrature formula has been constructed for calculating a hypersingular integral over a segment that uses the endpoints of the segment partition intervals as nodes of piecewise constant interpolation of the integral density, as well as specially selected collocation points. A distinctive feature of ...
collocation methodoptimal controlnumerical methodtime varying coefficientsA numerical method for solving linear two-point boundary-value problems with time varying coefficients is presented in this paper. The method is based upon constructing the Nth degree polynomial interpolation using Legendre-Gauss-Lobatto...
collocationChebyshev polynomial perturbationstiffness/ B0290P Differential equations (numerical analysis) C4170 Differential equations (numerical analysis)This paper presents a parameter expansion method for two-point nonlinear singularly perturbed boundary value problem for second order ordinary differential ...
Taiwo, OA: Exponential fitting for the solution of two-point boundary value problems with cubic spline collocation tau-method. Int. J. Comput. Math. 79, 299-306 (2002) 6. Jang, B: Two-point boundary value problems by the extended Adomian decomposition method. Comput. Appl. Math. 219, ...
Tu W, Gu YT, Wen PH (2012) Effective shear modulus approach for two dimensional solids and plate bending problems by meshless point collocation method. Eng Anal Bound Elem 36:675–684Tu W, Gu YT, Wen PH (2012) Effective shear modulus approach for two dimensional solids and plate bending ...
The results derived in this paper can be extended to parabolic equations in one space variable. Also ROWCOL can be used to solve the linear systems arising in the collocation-H-1-Galerkin method for two-point boundary value problems and parabolic equations. 展开 ...
These points are close (O(h2) as we pointed out in the introduction) to where the error in the collocation solution is zero. Over the whole interval, the error for method 1 has error O(h5). The second example, which models nonlinear elastic beams, is the system dy1 dt = sin(y2),...
The collocation and the Galerkin spectral formulations are examined in det... A Karageorghis - 《Computer Methods in Applied Mechanics & Engineering》 被引量: 17发表: 1988年 Existence of solutions of nonlinear two and three-point boundary value problems for fourth order nonlinear differential ...
Taiwo, O. A: "Exponential fitting for the solution of Two-point Boundary Value Problems with Cubic Spline Collocation Tau Method". Intern. J. Computer Math., 79, 299-306, 2002.Taiwo, O.A., 2002. Exponential fitting for the solution of two-point boundary value problems with cubic spline ...
Quintic B-spline collocation method for second order mixed boundary value problem 2012, Computer Physics Communications Show abstract Solving two-point boundary value problems using combined homotopy perturbation method and Green's function method 2009, Applied Mathematics and Computation Show abstract Two-...