# Partial differential equations

Xem 1-20 trên 109 kết quả Partial differential equations
• ### Ebook Advanced engineering mathematics (Tenth edition): Part 1

(BQ) Ebook Analytical and computational methods of advanced engineering mathematics: Part 1 includes the following content: Chapter 1 First-Order ODEs; chapter 2 Second-Order Linear ODEs; chapter 3 Higher Order Linear ODEs; chapter 4 Systems of ODEs, Phase Plane, Qualitative Methods; chapter 5 Series Solutions of ODEs, Special Functions; chapter 6 Laplace Transforms; chapter 7 Linear Algebra: Matrices, Vectors, Determinants, Linear Systems; chapter 8 Linear Algebra: Matrix Eigenvalue Problems; chapter 9 Vector Differential Calculus, Grad, Div, Curl; chapter 10 Vector Integral Calculus, Inte...

• ### Ebook Numerical recipes in Fortran 77: The art of scientific computing (Volume 1 of Fortran Numerical recipes) – Part 2

(BQ) Ebook Numerical recipes in Fortran 77: The art of scientific computing (Volume 1 of Fortran Numerical recipes) – Part 2 presents the following content: Fast fourier transform, fourier and spectral applications, statistical description of data, modeling of data, integration of ordinary differential equations, two point boundary value problems, integral equations and inverse theory, partial differential equations, less-numerical algorithms.

• ### Integral boundary value problem for fuzzy partial hyperbolic differential equations

The paper "Integral boundary value problem for fuzzy partial hyperbolic differential equations" presents some new results on the existence and uniqueness of fuzzy solutions for some classes of fuzzy partial hyperbolic differential equations with integral boundary conditions. Our results are demonstrated in some computational examples. In this we use the same strategy as Buckley-Feuring to build fuzzy solutions from fuzzifying the deterministic solutions.

• ### On the existence of fuzzy solutions for partial hyperbolic functional differential equations

In the paper "On the existence of fuzzy solutions for partial hyperbolic functional differential equations", we consider the boundary valued problems for fuzzy partial hyperbolic functional differential equations with local and integral boundary conditions. A new weighted metric is used to investigate the existence and uniqueness of fuzzy solutions for these problems in a complete fuzzy metric space. Our results are demonstrated in some numerical examples in which we use the same strategy as BuckleyFeuring to build fuzzy solutions from fuzzifying the deterministic solutions.

• ### Triebel-lizorkin-morrey spaces associated with nonnegative self-adjoint operator

The classical Triebel-Lizorkin spaces on Euclidean spaces Rn, considered as generalizations of other classical spaces such as Lesbegue spaces, BMO spaces, Hardy spaces, and Sobolev spaces, are essential in approximation theory and partial differential equations.

• ### Lecture Mathematics III

Lecture Mathematics III. After completing this section, you will understand knowledge about: partial differential equation of first order, Linear partial differential equation, Non-linear partial differential equation, Homogenous and non-homogeneous partial differential equation with constant co-efficient, Cauchy type, Monge’s method, Second order partial differential equation.

• ### A simulation of the heston model with stochastic volatility using the finite difference method

In this study, we investigated one of the most popular stochastic volatility pricing models, the Heston model, for European options. This paper deals with the implementation of a finite difference scheme to solve a two-dimensional partial differential equation form of the Heston model.

• ### Giải phương trình đạo hàm riêng sử dụng mạng neural nhân tạo

Bài viết này trình bày một phương pháp giải phương trình đạo hàm riêng (partial differential equation - PDE) thoả điều kiện biên Dirichlete sử dụng mạng neural truyền thẳng một lớp ẩn (single-hidden layer feedfordward neural networks - SLFN) gọi là phương pháp mạng neural (neural network method – NNM). Các tham số của mạng neural được xác định dựa trên thuật toán huấn luyện mạng lan truyền ngược (backpropagation - BP). Kết quả nghiệm PDE thu được bằng phương pháp NNM chính xác hơn so với nghiệm PDE giải bằng phương pháp sai phân hữu hạn.

• ### Doctoral Dissertation of Mathematics: On some classes of nonlocal parabolic equations

The objectives of this dissertation are to study the asymptotic behavior of solutions of these nonlocal problems via the existence of (its finite dimensional) global attractors, and the existence and exponential stability of stationary solutions.

• ### Summary of Doctoral Dissertation in Mathematics: On some classes of nonlocal parabolic equations

The objectives of this dissertation are to study the asymptotic behavior of solutions of these nonlocal problems via existence of (its finite dimensional) global attractors, and the existence and exponential stability of stationary solutions.

• ### Vibration under variable magnitude moving distributed masses of non-uniform bernoulli–euler beam resting on pasternak elastic foundation

The dynamic response to variable magnitude moving distributed masses of simply supported non-uniform Bernoulli–Euler beam resting on Pasternak elastic foundation is investigated in this paper. The problem is governed by fourth order partial differential equation with variable and singular coefficients. The main objective of this work is to obtain closed form solution to this class of dynamical problem.

• ### Non-autonomous stochastic evolution equations, inertial manifolds and Chafee-infante models

Consider a stochastic evolution equation containing Stratonovich-multiplicative white noise of the form ( , ) du Au f t u u W dt     where the partial differential operator A is positive definite, self-adjoint with a discrete spectrum; and the nonlinear part f satisfies the Lipschitz condition with  belonging to an admissible function space. We prove the existence of a (stochastic) inertial manifold for the solutions to the above equation. Our method relies on the Lyapunov-Perron equation in a combination with the admissibility of function spaces.

• ### Existence and uniqueness of solutions of some general fuzzy partial hyperbolic functional differential equations

In this paper, we investigate the existence and uniqueness of fuzzy solution for a class of general hyperbolic equations with state-dependent delays. We will prove the well-posedness of problem doesn’t depend on the domain and boundary data as well as initial data. Our method is based on Banach fixed point theorem in completely new weighted metric space.

• ### Fourier cosine laplace generalized convolution inequalities and applications

We introduce several weighted Lp(R+)-norm inequalities and integral transform related to the generalized convolution with a weight function for the Fourier cosine and Laplace transforms. Some applications of these inequalities to estimate the solutions of some partial differential equations are considered.

• ### Fuzzy solutions for general hyperbolic partial differential equations with local initial conditions

In this paper, we study the existence and uniqueness of fuzzy solutions for general hyperbolic partial differential equations with local conditions making use of the Banach fixed point theorem. Some examples are presented to illustrate our results.

• ### Stable numerical results to a class of time-space fractional partial differential equations via spectral method

In present time significant attention has been given to study non-integer order partial differential equations. The current article is devoted to find numerical solutions to the following class of time–space fractional partial differential.

• ### On the image inpainting problem from the viewpoint of a nonlocal Cahn-Hilliard type equation

Motivated by the fact that the fractional Laplacean generates a wider choice of the interpolation curves than the Laplacean or bi-Laplacean, we propose a new non-local partial differential equation inspired by the Cahn-Hilliard model for recovering damaged parts of an image. We also note that our model is linear and that the computational costs are lower than those for the standard Cahn-Hilliard equation, while the inpainting results remain of high quality.

• ### Increasing the damping of oscillatory systems with an arbitrary number of time varying frequencies using fractional-order collocated feedback

This paper studies the active damping of the oscillations of lightly damped linear systems whose parameters are indeterminate or may change through time. Systems with an arbitrary number of vibration modes are considered. Systems described by partial differential equations, that yield an infinite number of vibration modes, can also be included. In the case of collocated feedback, i.e. the sensor is placed at the same location of the actuator, a simple fractional order differentiation or integration of the measured signal is proposed that provides an effective control.

• ### Beyond the particular case of circuits with geometrically distributed components for approximation of fractional order models: Application to a new class of model for power law type long memory behaviour modelling

This paper first shows that this geometric distribution is only a particular distribution case and that many other distributions (an infinity) are in fact possible. From the networks obtained, a class of partial differential equations (heat equation with a spatially variable coefficient) is then deduced. This class of equations is thus another tool for power law type long memory behaviour modelling, that solves the drawback inherent in fractional heat equations that was proposed to model anomalous diffusion phenomena.

• ### Radiation and chemical reaction effects on the boundary layer MHD casson fluid on a vertical plate embedded in the porous medium

The present paper is concerned to analyse the magnetohydrodynamic (MHD) Casson fluid flow free convection boundary layer flow of an incompressible electrically conducting fluid through a porous medium subjected to magnetic field in the presence of radiation and chemical reaction. Similarity variables are used to transform the non-linear governing equations are reduced to ordinary partial differential equations, solved by shooting process with BVP4C