[PDF] Top 20 Numerical Results of Some Initial and Boundary Value Problems in Mechanics

... and numerical solutions of fourth order homogenous and non-homogenous linear boundary value problems were investigated using a polynomial form of initial guess with the variational ... See full document

... 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

... solve boundary value problems and initial boundary value problems with mixed boundary condi- tions for linear and nonlinear partial differential ...The ... See full document

... fluid mechanics and different fields of chemistry and ...a numerical method based on Shifted Legendre polynomials for solving a class of frac- tional differential ...the initial and boundary ... See full document

... diversified initial boundary value problems with non local boundary ...The results demonstrate the stability and convergence of the method, the obtained solutions are shown ... See full document

... uniqueness results for the problem, and (ii) to employ the lower and upper solutions method (see [14]) to construct two monotone sequences which converge uniformly to the exact solution of the ... See full document

... In the last two decades, the theory of fractional calculus has gained popularity due to its wide applications in various fields of engineering and the sciences [–]. Moreover, the p-Laplacian equations often exist in ... See full document

... y . It is then possible to formulate a two-step iterative formulation. First, using the given boundary conditions, an initial value can be assigned to the unknown function, i.e. y j , j = 1,  , n . ... See full document

... for some K-step linear multi-step methods (for K = 1, 2 and 3), using Legendre polynomials as the basis ...non-stiff initial value problems, being the continuous interpolant derived and ... See full document

... the numerical method for solving singularly perturbed boundary value ...test problems. The numerical results are found in good agreement with exact ... See full document

... the results obtained in this study is based on the assumption that the there exists a solution to initial- boundary value problems defined for Tellegen ... See full document

... recently, some basic theory for the initial bound- ary value problems of fractional differential equations has been discussed in [1, 14, ... See full document

... existence results are derived for the smallest and greatest solutions of considered ...Novel results are derived for the dependence of solutions on the ...obtained results are applied to impulsive ... See full document

... above, some nu- merical techniques were also developed to solve some problems constructed with KdVB ...frontier numerical studies on KdVB equation is based on Bubnov- Galerkin’s finite element ... See full document

... few results on the initial-boundary value problems with pseudodifferential equations having a nonanalytic ...has some poles in the complex right half-plane was studied in 14, 15, ... See full document

... Neumann boundary condition with a more complicated homogeneous equation on boundary, we obtain an explicitly solvable initial-boundary value ... See full document

... abstract results unified some methods in studying the existence of positive solutions for boundary and initial value problems of nonlinear difference and differential ... 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

... We study the existence of solutions for a class of fractional differential equations. Due to the singularity of the possible solutions, we introduce a new and proper concept of periodic boundary value ... See full document

... A + ρ B (7) Condition (7) is well known in the literature of singular systems of differential equations, see [17], and involves the existence of some ρ ∈ 0  so that matrix A 1 + ρ 0 B 1 is invertible. In this ... See full document