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Partial Differential Equation

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Intermediate

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3.75 Hrs

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5.2K+
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About this Free Certificate Course

A partial differential equation (mostly called PDE) is a popular mathematical equation that is polarly used in the solution of problems with functions with multiple variables, heat or sound equations, fluid flow, and more. Keeping this in mind, we present to you this elaborate course on the method of partial differential equations. The instructor ensures to cover the concepts in depth along with numerous examples to showcase the usage and solution of partial differential equations and a lot more.

 

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Course Outline

Introduction to formation of PDEs
Functions with Constants
Elimination of only Functions
Example with Coordinates
Example with just the Function
Solution of Non-Homogeneous PDE by Direct Integration
Introduction to Solution of PDEs
Solving PDEs
Solving Second-Order ODEs
More Examples of Solutions
Solution of Lagrange's Linear PDE

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Partial Differential Equation

3.75 Learning Hours . Intermediate

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Frequently Asked Questions

What are ODE and PDE?

Partial differential equations (PDE) contain differentials concerning numerous independent variables, whereas ordinary differential equations (ODE) contain differentials for only one variable.

What are the types of partial differential equations?

Hyperbolic, parabolic, and elliptic PDEs are the three basic types of PDEs. These PDEs depict wave propagation, time-dependent diffusion processes, and steady-state or equilibrium processes, respectively, from a physical standpoint.

Which is linear PDE?

Sometimes the dependent variable and all of its partial derivatives occur linearly in any PDE. Then, the equation is stated as a linear PDE; otherwise, it is stated as a non-linear PDE.

What is the wave equation in PDE?

The wave equation is a second-order linear partial differential equation that describes mechanical waves (e.g., water waves, sound waves, and seismic waves) and light waves as they arise in classical physics. Acoustics, electromagnetics, and fluid dynamics are examples of domains that can occur.

How do you solve partial differential equations?

Solving PDEs is generally based on finding a transformation of a variable to transform the equation into something soluble or on finding an integral form of the solution. 

a ∂u ∂x + b ∂u ∂y = c. dy dx = b a , and ξ(x, y) independent (usually ξ = x) to alter the PDE into an ODE.

What is a second-order partial differential equation?

The 2nd derivative of the dependent variable is expressed as a function of the variable, and its 1st derivative is a second-order differential equation.

Are partial differential equations hard?

In general, partial differential equations are much tougher to solve than ordinary differential equations.

What is the Lagrange partial differential equation?

Pp + Qq = R, where P, Q, and R are functions of x, y, and z, is a Quasi-linear partial differential equation of order one. The Lagrange equation is a type of partial differential equation like this. A Lagrange equation is something like xyp + yzq = zx.

What is the method used in CFD to solve partial differential equations?

Finite difference and finite volume methods are used to discretize partial differential equations in CFD. The flow variables are obtained by solving these discretized equations simultaneously. You can always learn more with https://www.mygreatlearning.com

Will I get a certificate after completing this Partial Differential Equation free course?

Yes, you will get a certificate of completion for Partial Differential Equation after completing all the modules and cracking the assessment. The assessment tests your knowledge of the subject and badges your skills.

How much does this Partial Differential Equation course cost?

It is an entirely free course from Great Learning Academy. Anyone interested in learning the basics of Partial Differential Equation can get started with this course.

Is there any limit on how many times I can take this free course?

Once you enroll in the Partial Differential Equation course, you have lifetime access to it. So, you can log in anytime and learn it for free online.

Can I sign up for multiple courses from Great Learning Academy at the same time?

Yes, you can enroll in as many courses as you want from Great Learning Academy. There is no limit to the number of courses you can enroll in at once, but since the courses offered by Great Learning Academy are free, we suggest you learn one by one to get the best out of the subject.

Why choose Great Learning Academy for this free Partial Differential Equation course?

Great Learning Academy provides this Partial Differential Equation course for free online. The course is self-paced and helps you understand various topics that fall under the subject with solved problems and demonstrated examples. The course is carefully designed, keeping in mind to cater to both beginners and professionals, and is delivered by subject experts. Great Learning is a global ed-tech platform dedicated to developing competent professionals. Great Learning Academy is an initiative by Great Learning that offers in-demand free online courses to help people advance in their jobs. More than 5 million learners from 140 countries have benefited from Great Learning Academy's free online courses with certificates. It is a one-stop place for all of a learner's goals.

What are the steps to enroll in this Partial Differential Equation course?

Enrolling in any of the Great Learning Academy’s courses is just one step process. Sign-up for the course, you are interested in learning through your E-mail ID and start learning them for free online.

Will I have lifetime access to this free Partial Differential Equation course?

Yes, once you enroll in the course, you will have lifetime access, where you can log in and learn whenever you want to.

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