Partial differential equations

(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...

632p runordie6 10-08-2022 10 1   Download

(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.

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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.

14p runordie3 27-06-2022 10 2   Download

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.

16p runordie3 27-06-2022 11 1   Download

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.

13p viericschmid 07-01-2022 8 0   Download

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.

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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.

14p chauchaungayxua12 09-07-2021 10 0   Download

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.

10p tunelove 12-06-2021 26 0   Download

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.

112p thebadguys 08-06-2021 7 0   Download

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.

25p thebadguys 08-06-2021 11 0   Download

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.

16p nguaconbaynhay11 07-04-2021 6 0   Download

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.

16p trinhthamhodang1218 18-03-2021 8 1   Download

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.

16p tamynhan9 02-12-2020 13 0   Download

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.

14p tamynhan9 02-12-2020 11 0   Download

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.

12p tamynhan8 04-11-2020 18 1   Download

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.

10p dayhoctainha 10-09-2020 18 1   Download

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.

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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.

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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.

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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

12p cleopatrahuynh 01-06-2020 14 0   Download