methods for solving nonlinear integral equations

... Many numerical methods have been developed for DAEs Most numerical methods for differential algebraic equations based on standard methods from the theory of ordinary differential equations It is ... thesis Therefore, this thesis concentrates on numerical methods for semi-explicit DAEs of index Here, we are concerned with one-step methods for index DAEs in Hessenberg form These methods combine ... partitioned half-explicit Runge-Kutta methods and half-explicit Runge-Kutta methods However, the implicit methods is more suitable than explicit methods for solving stiff problems because their

Ngày tải lên: 03/01/2018, 08:38

... thesis Therefore, thesis concentrates on numerical methods for semi-explicitthis DAEs of index Here, concerned one-step methods for efficient index DAEs in we Hes-are senberg form.with These methods ... meth- ods have been developed for DAEs Most numerical methods for differential algebraic equations based on standard methods from the theory of ordinary differential equations It is well known that ... Formulation of Runge-Kutta methods 1.2.2 Classes of Runge-Kutta methods 10 1.2.3 Simplifying assumptions 12 Implicit RK methods and half-explicit RK methods for semiexplicit DAEs of index

Ngày tải lên: 23/12/2021, 21:29

... method for regularizing systems of nonlinear ill-posed equations Appl Math Comput 2008;202:596–607 [5] Anh PK, Chung CV Parallel iterative regularization methods for solving systems of ill-posed equations ... Kaczmarz methods for regularizing nonlinear ill-posed equations, I Convergence analysis Inverse Prob Imaging 2007;1:289–298 [2] Haltmeier M, Kowar R, Leitao A, Scherzer O Kaczmarz methods for regularizing ... uniformly Gateaux differetiable norm if for every is attained uniformly for x ∈ S1 (0) It is well known y ∈ S1 (0) the limit limt→0 ||x+t y||−||x|| t (see [11]) that if the norm of X is uniformly

Ngày tải lên: 16/12/2017, 03:07

... sophisticated numerical methods for dispersive equations For some nonlinear dispersive equations, the computation concern involves several challenges For example, long-time simulations call for much efficient ... compare various numerical methods for solving the nonlinear Klein–Gordon (KG) equation The nonlinear KG equation might be viewed as the most simplest form of wave equations; however, here it is ... Numerical studies for ground states 30 along x-axis for 3D BSFC, BESP and BEFP methods in a cube [−4, 4]3 with uniform mesh size h = 1/16 in each axis, and for BEFP in different cubes with uniform mesh...

Ngày tải lên: 09/09/2015, 17:55

... consider system of equations and apply PDS algorithm to solving nonlinear Equations System Nonlinear Equations System 4.1 The model of nonlinear equations system A general nonlinear equations system ... n) where fj (1≤j≤m) are nonlinear functions 4.2 Popular approaches for solving nonlinear Equations System There are several standard known techniques to solve nonlinear equations system Some popular ... PDS algorithm of this paper for solving engineering optimization problems REFERENCES 16 Broyden C G (1965), “A class of methods for solving nonlinear simultaneous equations , Math Comput., vol...

Ngày tải lên: 04/09/2016, 09:08

... in detail the design of efficient explicit methods for non-stiff xiv NUMERICAL METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS problems For implicit methods for stiff problems, inexpensive implementation ... Numerical Methods for Ordinary Differential Equations Numerical Methods for Ordinary Differential Equations, Second Edition J C Butcher © 2008 John Wiley & Sons, Ltd ISBN: 978-0-470-72335-7 Numerical Methods ... functions on [0, 1] for which u(0) = u(1) = dx2 The eigenfunctions for the continuous problem are of the form sin(kπx), for 10 NUMERICAL METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS k = 1, 2,...

Ngày tải lên: 13/02/2014, 20:20

... Problems for Equations of Second Order Cauchy problem for semilinear hyperbolic equations Two-point inverse problems for equations of hyperbolic type Two-point inverse problems for equations ... Problems for Equations of Hyperbolic Type Inverse problems for x-hyperbolic systems Inverse problems for t-hyperbolic systems Inverse problems for hyperbolic equations of the second order Problems for ... inverse problems for mathematical physics equations, in particular, for parabolic equations, second order elliptic and hyperbolic equations, the systems of Navier-Stokes and Maxwell equations, symmetric...

Ngày tải lên: 17/03/2014, 14:30

... Noor, “Resolvent methods for solving a system of variational inclusions,” International Journal of Modern Physics B In press 27 M A Noor and K I Noor, “Resolvent methods for solving the system ... variational inequalities involving five different operators,” Nonlinear Analysis Forum, vol 15, pp 171–179, 2010 24 M A Noor, “On iterative methods for solving a system of mixed variational inequalities,” ... 0, for all n ≥ satisfies some suitable conditions For suitable and appropriate choice of the operators T1 , T2 , A, g, h, g1 and spaces, one can obtain a wide class of iterative methods for solving...

Ngày tải lên: 21/06/2014, 06:20

... Preliminaries For solving the equilibrium problem for a bifunction F : C × C → R, let us assume that F satisfies the following conditions: A1 F x, x for all x ∈ C; A2 F is monotone, that is, F x, y A3 for ... for all x ∈ C, for a constant κ > 1; then, T is relaxed μ, ν -cocoercive and Lipschitz continuous Especially, T is ν-strong monotone Proof Since T x κx, for all x ∈ C, we have T : C → C For for ... method for solving the variational inequality 1.2 For a given u0 ∈ C, wn un PC un − λAun , PC wn − λAwn , n 0, 1, 2, , 1.7 which is also known as the modified double-projection method For the...

Ngày tải lên: 21/06/2014, 07:20

... nonexistence theorems for nonlinear evolution equations, ” The Quarterly Journal of Mathematics Oxford, vol 28, no 112, pp 473–486, 1977 Z Yang, “Existence and asymptotic behaviour of solutions for a class ... solutions for some nonlinear hyperbolic equation with a nonlinear dissipative term,” Journal of Zhengzhou University, vol 29, no 3, pp 18–23, 1997 15 Y Ye, “On the decay of solutions for some nonlinear ... damped wave equations, ” Mathematical Methods in the Applied Sciences, vol 26, no 12, pp 1047–1066, 2003 11 L Yacheng and Z Junsheng, “Multidimensional viscoelasticity equations with nonlinear damping...

Ngày tải lên: 21/06/2014, 11:20

... algorithms, physics, variational inequalities, ordinary differential equations, integral equations, matrix equations and so on (see, for example, [1–6]) The Banach contraction principle [7] is a fundamental ... uniqueness of solutions to some classes of nonlinear integral equations 1 Introduction Fixed point theory is considered as one of the most important tools of nonlinear analysis that widely applied ... (gx,gy) aλ (t) dt ≤ aλ (t) dt − bλ (t) dt 0 for all λ ∈ A, for all x, y ∈ X for which gx exists x0 such that gx0 dλ (gx,gy) gy, where aλ , bλ ∈ Γ for all λ ∈ A If there f x0 , then f and g have...

Ngày tải lên: 21/06/2014, 17:20

... one of these methods yields the existence, whereas the other one does not Bicharacteristics First, for a given function z ∈ C([−τ ,a], R+ ), consider the bicharacteristic equations for problem ... methods for some problems of mathematical biology,” in Differential & Difference Equations and Applications, pp 661–666, Hindawi, New York, NY, USA, 2006 [15] J K Hale, Functional Differential Equations, ... Kamont and H Leszczynski, “Uniqueness result for the generalized entropy solutions to the Cauchy problem for first-order partial differential-functional equations, ” Zeitschrift f¨ r Analysis u und...

Ngày tải lên: 22/06/2014, 11:20