Ordinary differential equations

Mục tiêu của bài giảng "Phương trình vi phân" của ThS. Hồ Thị Bạch Phương nhằm giúp các em sinh viện biết cách giải phương trình vi phân (Ordinary Differential Equations ODEs); Hiểu được tầm qua trọng của phương pháp số giải ODEs; Đánh giá độ tin cậy của các phương pháp đó. Mời quý thầy cô và các em cùng tham khảo chi tiết bài giảng tại đây.

54p tienphap22 29-10-2022 13 2   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.

484p runordie6 10-08-2022 8 3   Download

Synchronization is a ubiquitous feature in many natural systems and nonlinear science. This paper studies the synchronization in a complete network consisting of n nodes. Each node is connected to all other nodes by nonlinear coupling and represented by an ordinary differential system of FitzHugh-Nagumo type (FHN) which can be obtained by simplifying the famous Hodgkin-Huxley model.

7p viwilliamleiding 10-12-2021 14 0   Download

This article represents the mathematical modeling and simulation of several common flying situations of a paraglider through establishing and solving the governing differential equations in state-space. Those flying situations include the ones with constant headwind/tailwind with or without constant upwind; the ones with different scenario for the variations of headwind and tailwind combined with the upwind; the ones with varying pilot mass; and the ones whose several parameters are in the form of interval quantities.

11p chauchaungayxua12 09-07-2021 6 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

Synchronization is a ubiquitous feature in many natural systems and nonlinear science. In this paper, the synchronization in complete network consisting of n nodes is studied. Each node is connected to all other nodes by linear coupling and it is represented by a system of ordinary differential equations of FitzHugh-Nagumo type which is obtained by simplifying the famous Hodgkin-Huxley model.

6p trinhthamhodang1218 18-03-2021 5 2   Download

One of effective approaches to the study of long - time behavior of infinite dimensional dynamical systems is based on the concept of inertial manifolds which was introduced by C. Foias, G. Sell and R. Temam (see [4] and the references therein). These inertial manifolds are finite dimensional Lipschitz ones, attract trajectories at exponential rate. This enables us to reduce the study of infinite dimensional systems to a class of induced finite dimensional ordinary differential equations.

14p trinhthamhodang1218 18-03-2021 12 1   Download

This paper deals with the port-based modelling of general engineering systems [1] whose dynamics are described by a set of Ordinary Differential Equations (ODEs) and affine in the control input u.

14p nguaconbaynhay10 19-02-2021 14 0   Download

The thesis proposes a simple but very effective method to study the unique solvability and an iterative method for solving five boundary value problems for nonlinear fourth order ordinary differential equations with different types of boundary conditions and two boundary value problems for a biharmonic equation and a biharmonic equation of Kirchhoff type by using the reduction of these problems to the operator equations for the function to be sought or an intermediate function.

27p larachdumlanat129 20-01-2021 21 0   Download

For the representation of RNA interference (RNAi) dynamics, several mathematical models based on systems of ordinary differential equations (ODEs) have been proposed. These models consist of equations for each molecule that are involved in RNAi phenomena.

6p viwyoming2711 16-12-2020 11 2   Download

Understanding the dynamics of biological processes can substantially be supported by computational models in the form of nonlinear ordinary differential equations (ODE). Typically, this model class contains many unknown parameters, which are estimated from inadequate and noisy data.

13p vikentucky2711 26-11-2020 23 0   Download

In cancer research, robustness of a complex biochemical network is one of the most relevant properties to investigate for the development of novel targeted therapies. In cancer systems biology, biological networks are typically modeled through Ordinary Differential Equation (ODE) models.

19p vijisoo2711 27-10-2020 10 1   Download

While mathematical models are often used to predict progression of cancer and treatment outcomes, there is still uncertainty over how to best model tumor growth. Seven ordinary differential equation (ODE) models of tumor growth (exponential, Mendelsohn, logistic, linear, surface, Gompertz, and Bertalanffy) have been proposed, but there is no clear guidance on how to choose the most appropriate model for a particular cancer.

10p vinaypyidaw2711 26-08-2020 8 1   Download

This work considers the generation of ordinary differential equations whose solutions are the probability functions of wrapped exponential distribution. This will help in understanding the nature of exponential distribution when wrapped in a circle.

13p lucastanguyen 01-06-2020 5 0   Download

Combining anti-cancer therapies with orthogonal modes of action, such as direct cytotoxicity and immunostimulatory, hold promise for expanding clinical benefit to patients with metastatic disease.

17p vikuala271 13-06-2020 8 1   Download

Simeoni and colleagues introduced a compartmental model for tumor growth that has proved quite successful in modeling experimental therapeutic regimens in oncology. The model is based on a system of ordinary differential equations (ODEs), and accommodates a lag in therapeutic action through delay compartments.

10p vijakarta2711 09-06-2020 8 1   Download

In this paper, we analyze the heat and mass transfer of MHD visco-elastic flow through porous medium in presence of thermal radiation and chemical reaction over an exponentially stretching sheet. The governing equations are transformed into ordinary differential equations by using suitable similarity transformations. By using Homotopy Analysis Method (HAM), the transformed equations are solved analytically.

13p cleopatrahuynh 01-06-2020 10 0   Download

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

In this paper, we presented a novel multi-strain TB model of variable-order fractional derivatives, which incorporates three strains: drug-sensitive, emerging multi-drug resistant (MDR) and extensively drug-resistant (XDR), as an extension for multi-strain TB model of nonlinear ordinary differential equations which developed in 2014 by Arino and Soliman [1]. Numerical simulations for this variable-order fractional model are the main aim of this work, where the variable-order fractional derivative is defined in the sense of Gru¨nwald–Letnikov definition.

13p kequaidan1 16-11-2019 18 1   Download

In the paper, a calculating program named “KANTBP 4M – A program for solving boundary problems of the self-adjoint system of ordinary second order differential equations” is presented.

11p vicross2711 20-06-2019 24 1   Download