How hard is partial differential equations Reddit?
Answers from top 8 papers
More filters
| Papers (8) | Insight |
|---|---|
16 Citations | The executed method is powerful, effective and straightforward for solving nonlinear partial differential equations to obtain more and new solutions. |
17 Citations | This method is manageable, straightforward and a powerful tool to find the exact solutions of nonlinear partial differential equations. |
21 Feb 2005 | The method can be straightforwardly extended to tackle other types of partial differential equations. |
204 Citations | Furthermore, the approach is largely automatic, thus avoiding the lengthy development times usually required to develop adjoint solvers for partial differential equations. |
| It is found that the method by Feng is a very efficient method which can be used to obtain exact solutions of a large number of nonlinear partial differential equations. | |
14 Citations | Our method is applicable to many other classes of nonlinear partial differential equations. |
59 Citations | This paper presents an observation that under reasonable conditions, many partial differential equations from mathematical physics possess three structural properties. |
| The author found that certain solutions of some nonlinear partial differential equations can be obtained easily by an iteration method. |
Related Questions
How difficult is mathematics?5 answersMathematics is perceived as a challenging subject by many students due to various reasons outlined in the research papers. Students face difficulties in solving mathematical problems, particularly story problems, due to issues like inaccurate calculations and unclear processes. Factors contributing to the difficulty in learning mathematics include struggles with remembering content, understanding concepts, lack of learning strategies, and rapid forgetting of material. A literature review highlighted that learning difficulties in mathematics are related to mathematical concepts, application in science, word problems, unclear instructions, limited time, and students' anxiety and ability. Efforts to address these challenges include teacher training programs focusing on concept formation, reasoning, and mathematical modeling to help students overcome specific learning difficulties in mathematics. Additionally, inadequate teaching techniques, school facilities, family environment, and curriculum contribute to students' struggles in learning mathematics.
What are some of the applications of partial differential equations in engineering?3 answersPartial differential equations (PDEs) have various applications in engineering. They are used to model physical processes in fields such as fluid mechanics, heat and mass transfer, and electromagnetism. PDEs are also employed in the solution of engineering problems, where accurate and efficient numerical methods are required. In the study by Ureña et al., the authors highlight the importance of solving PDEs in science and discuss the need for efficient methods to obtain solutions. Additionally, Jatinder Kaur's work focuses on the review of different numerical methods for solving nonlinear PDEs, aiming to improve accuracy and efficiency in engineering applications. Therefore, PDEs play a crucial role in engineering, providing mathematical tools to model and solve a wide range of problems in various fields.
How can partial differential equations be used to model stock market behavior?5 answersPartial differential equations can be used to model stock market behavior by incorporating behavioral aspects and agents' heterogeneity. These equations provide a mathematical framework to describe the dynamics of stock price formation in financial markets. The use of kinetic modeling based on partial differential equations allows for the analysis of market booms, crashes, and the emergence of power laws for price distributions. The behavior and perception of investors, as well as the irrational and rational decision-making processes, can be taken into account in these models. The interaction of heterogeneous traders and the herding effect can also be quantitatively analyzed using Lotka-Volterra equations. These models provide insights into the complex interaction of traders and the relationship between stock price and herding effect.
What is the telegraph partial differential equation?4 answersThe telegraph partial differential equation is a hyperbolic equation that represents reaction-diffusion processes in various fields. It has applications in engineering, biology, and physics. Different numerical and analytical methods have been developed to solve this equation. One approach is to use spline functions to approximate the time-fractional telegraph equation. Another method involves using the Caputo fractional derivative and selfadjoint positive operators to solve the Cauchy problem for the telegraph equation. Fourier series and numerical techniques have also been used to solve the boundary value problem of the telegraph equation. Additionally, a novel analytic approximate method based on Taylor series has been proposed for solving the telegraph equation, which has shown to be efficient and accurate. Special functions, such as Chebyshev polynomials, have been utilized to find approximate solutions to the telegraph equation, with the use of fast Fourier transformation to reduce computational time.
How hard is it to get a software engineering job Reddit?7 answers
When were partial differential equations invented?7 answers