[PDF] application of laplace transform to boundary value problems

Boundary value problems in two or more variables characterized by partial differential equations can be solved by a direct use of multidimensional Laplace transform. The general theory for obtaining solutions in this technique is developed in this paper by providing theorems on Laplace transform in n dimensions.
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  • What transform is applied to the solution of the boundary value problem?

    The integral transform is useful in solving boundary value problems involving partial differential equations, as its use gen- erally reduces the complexity of the differential equation by removing one independent variable.

  • What are the real life applications of Laplace transform?

    Laplace Transform methods have a key role to play in the modern approach to the analysis and design of engineering system.
    The concepts of Laplace Transforms are applied in the area of science and technology such as Electric circuit analysis, Communication engineering, Control engineering and Nuclear physics etc.

  • What is the main application of Laplace transform?

    Applications of Laplace Transform
    It is used to convert complex differential equations to a simpler form having polynomials.
    It is used to convert derivatives into multiple domain variables and then convert the polynomials back to the differential equation using Inverse Laplace transform.

  • What is the main application of Laplace transform?

    Since the boundary conditions and Laplace's equation are linear, the solution to the general problem is simply the sum of the solutions to these four problems, u(x,y)=u1(x,y)+u2(x,y)+u3(x,y)+u4(x,y).

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