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[PDF] Top 20 Solving equations by topological methods

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Solving equations by topological methods

Solving equations by topological methods

... For the proof of the relative version instead of the Lefschetz number we need the fixed point index for the appropriate class of mappings.. We shall follow the ideas contained in [1].[r] ... See full document

31

On the Pseudo-Spectral Method of Solving Linear Ordinary Differential Equations

On the Pseudo-Spectral Method of Solving Linear Ordinary Differential Equations

... differential equations can be solved analytically, to overcome this problem, there is need to search for an accurate approximate ...for solving linear differential equations. By exploiting the ... See full document

5

Numerical Solution of Second-Order Linear Fredholm Integro-Differential Equation Using Generalized Minimal Residual Method

Numerical Solution of Second-Order Linear Fredholm Integro-Differential Equation Using Generalized Minimal Residual Method

... complicated equations such as partial differential equations, integral equations, Integro-Differential Equations (IDE), stochastic equations and ...integro-differential equations ... See full document

4

A Monte Carlo method for solving the one-dimensional telegraph equations with boundary conditions

A Monte Carlo method for solving the one-dimensional telegraph equations with boundary conditions

... exclusively by the sample size N ...classical methods such a probabilistic numerical method does not suffer of any dispersion and dissipation issues, since no ap- proximation schemes of the spatial and time ... See full document

28

Adaptive Collocation Methods for the Solution of Partial Differential Equations

Adaptive Collocation Methods for the Solution of Partial Differential Equations

... formulated by the analysis of former or new data ...affected by the values of the variables that define its state, but also by the gradients of these variables in relation to the independent ... See full document

6

Analytical Investigation of Hyperbolic Equations via He's Methods

Analytical Investigation of Hyperbolic Equations via He's Methods

... Perturbation methods depend on a small parameter which is difficult to be found for real-life nonlinear ...analytical methods were introduced to solve nonlinear heat transfer problems in this letter, one is ... See full document

9

Iterative methods
of solving the coupled filtration problem

Iterative methods of solving the coupled filtration problem

... First, spatial discretization is based on the fi nite element method, while the fi nite-difference scheme is used to assure discretization within the course of time. Discretization of the linear coupled problem leads to ... See full document

8

Parallel Iterative Algorithms with Accelerate Convergence for Solving Implicit Difference Equations

Parallel Iterative Algorithms with Accelerate Convergence for Solving Implicit Difference Equations

... for solving implicit difference equations have been improved ...implicit methods, are set up to solve different implicit equations [9] ...parallel by segmenting grid domains. It turns ... See full document

8

Non-stationary iterative methods for solving macroeconomic numeric models

Non-stationary iterative methods for solving macroeconomic numeric models

... influenced by the development of new and efficient compu- tational ...of equations, the solution of which requires heavy ...numerical methods addressed in this ...direct methods, we propose ... See full document

5

Comput. Appl. Math.  vol.31 número2

Comput. Appl. Math. vol.31 número2

... investigated by the generalized inverse ...trix equations were obtained within the framework of the theory of the column and row ...quaternionic equations and obtained Cramer’s rules for right and ... See full document

19

Numerical method for solving system of Fredhlom integral equations using Chebyshev cardinal functions

Numerical method for solving system of Fredhlom integral equations using Chebyshev cardinal functions

... spent, by researchers, on introducing novel ideas for numerical solution of various functional equations by using the superior properties of these ...derived by expanding the required ... See full document

13

Three-step iterative methods with eighth-order convergence for solving nonlinear equations

Three-step iterative methods with eighth-order convergence for solving nonlinear equations

... increases by at least two at the expense of additional function evaluation at another point iterated by the Newton’s ...modified methods have been proposed in open literatures, see [2 − 21] and ... See full document

11

Efficient methods for solving multi-rate partial differential equations in radio frequency applications

Efficient methods for solving multi-rate partial differential equations in radio frequency applications

... Multi-rate methods have demonstrated to be much more efficient than the classical univariate ...for solving weakly nonlinear or quasi-linear circuits, but may become inefficient for solving strongly ... See full document

8

Comput. Appl. Math.  vol.30 número3

Comput. Appl. Math. vol.30 número3

... Spectral methods provide a computational approach which achieved substan- tial popularity in the last three ...spectral methods which is extensively applied for numerical solution of many ...invented ... See full document

20

Analytical Solutions of the Navier-Stokes Model by He's Polynomials

Analytical Solutions of the Navier-Stokes Model by He's Polynomials

... In a bid to providing numerical and/or exact solutions to linear and nonlinear differential equations; many researchers have considered and developed a lot of semi-analytical methods. These include Adomian ... See full document

4

Application of stabilization techniques in the dynamic analysis of multibody systems

Application of stabilization techniques in the dynamic analysis of multibody systems

... of equations of motion using any of these coordinate types except independent generalized coordinates leads to the mathematical model in the form of a set of differential- algebraic equations ...motion ... See full document

10

ACTIVE AND PARTICIPATORY METHODS IN BIOLOGY: PROBLEM-SOLVING

ACTIVE AND PARTICIPATORY METHODS IN BIOLOGY: PROBLEM-SOLVING

... problem solving skills in our difficult environment. Good problem solving skills empower managers in their professional and personal ...Problem solving skills are valued by academics and ... See full document

12

A hybrid Eulerian–Lagrangian numerical scheme for solving prognostic equations in fluid dynamics

A hybrid Eulerian–Lagrangian numerical scheme for solving prognostic equations in fluid dynamics

... The two analytical flow fields used have originally been proposed by Nair and Lauritzen (2010), and they include a non-divergent as well as a divergent flow. In both cases the Lagrangian parcels follow relatively ... See full document

25

LOCAL FRACTIONAL VARIATIONAL ITERATION METHOD FOR SOLVING VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITHIN LOCAL FRACTIONAL OPERATORS

LOCAL FRACTIONAL VARIATIONAL ITERATION METHOD FOR SOLVING VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITHIN LOCAL FRACTIONAL OPERATORS

... The theory of local fractional calculus is one of useful tools to process the fractal and continuously non differentiable functions (Kolwankar and Gangal, 1998; He, 2011; He et al., 2012; Parvate and Gangal, 2009; ... See full document

7

Correction: New Operational Matrices for Solving Fractional Differential Equations on the Half-Line.

Correction: New Operational Matrices for Solving Fractional Differential Equations on the Half-Line.

... Creative Commons Attribution License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited..[r] ... See full document

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