[PDF] Top 20 Numerical analysis via Chebyshev pseudospectral method for nonlinear initial/boundary value problems

... In this section, the numerical results obtained by using Chebyshev collocation method for the present physical models shall be validated through comparisons with the available exact or a[r] ... See full document

... need numerical methods to solve such equations. Singular initial and boundary value problems for ordinary differential equations arises in many fields such as gas dynamics, atomic ... See full document

... their numerical simulations are fundamental im- portance in gaining the correct qualitative and quantitative information on the ...systems. Numerical methods based on finite difference approximations, ... See full document

... Various numerical methods such as homotopy analysis method [24], Adomian decomposition method [25, 28], sinc-Galerkin method [26], B-spline method [27], pseudospectral ... See full document

... the boundary conditions in equation () are homogeneous ...computational method is described in order to obtain the accurate numerical solution with polynomial form of equation () in the reproducing ... See full document

... sition Method coupled to the Lesnic’s approach to solve boundary value problems and initial boundary value problems with mixed boundary condi- tions for ... See full document

... his method to solve nonlinear ...the method of Inokuti and proposed the Variational Iteration Method ...this method is constructing a correction functional by a general Lagrange ... See full document

... operational method based on Chebyshev polynomials for Caputo fractional derivative is applied to solve boundary value problems of the non-local Caputo frac- tional integro-differential ... See full document

... and nonlinear science and engineering, many analytical and numerical methods have been developed by various researcher for solving differential equation with non local conditions, (Cheniguel, 2012; ... See full document

... Moving boundary problems arise in many important applications to biology and ...fixed boundary problem, moving boundary problem is more ...moving boundary for nonlinear ... See full document

... The Chebyshev polynomials are one of the most useful polynomials which are suitable in numerical analysis including polynomial approximation, in- tegral and differential equations and spectral ... See full document

... Many problems in mathematical physics, theoretical phys- ics, chemical physics and theoretical biology are modeled by the so-called initial value and boundary value pro- blems in the ... See full document

... the Chebyshev finite difference method (ChFD) to discretize Equation (3) to get a nonlinear system of algebraic equations, thus greatly simplifying the ...the numerical solution of various ... See full document

... nonlocal boundary value problems for partial di ff erential equations and its applications in numerical analysis,” Journal of Computational and Applied Mathematics, ... See full document

... Fuzzy initial value problem (FIVP) shows up when the modeling of these issues was defective or not clear and its nature is beneath vulnerability ...of problems that are as well complicated or ... See full document

... Third-order differential equations arise in a variety of different areas of applied mathematics and physics, such as the deflection of a curved beam having a constant or varying cross section, three-layer beam, ... See full document

... The reason for this poor performance is that BVA cannot compensate or take into consideration the nature of a function or the dependencies between its variables. This lack of intuition or understanding for the variable ... See full document

... p is an increasing function on (0,1). The linear case with more general settings was considered in [2] and a nonlinear case was considered in [3]. The special case consid- ered here requires a different approach to ... See full document

... practical problems arising in science and engineering require solving initial and boundary value problems of fractional order differential equations (FDEs), see [, ] and references ... See full document

... as problems with deformable boundary, free surface (for FDM), large deformation (for FEM), mesh adaptivity and complex mesh generation (for both FEM and FDM) ...are problems with moving ... See full document