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Examples of Application Oriented Problems (Contd.)
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Examples of Application Oriented Problems
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Example of Generalized 3 Dimensional Problem
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Spherical Polar Coordinate System (Contd.)
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Spherical Polar Coordinate System
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Cylindrical Coordinate System -3 Dimensional Problem
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Solution of Hyperbolic PDE
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Solution of Elliptical PDE
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Solution of 4 Dimensional Parabolic Problem (Contd.)
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Solution of 4 Dimensional Parabolic Problem
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Solution of 3 Dimensional Parabolic Problem
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Separation of variables : Rectangular Coordinate systems
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Properties of Adjoint Operator
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Generalized sturm - Louiville problem
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Adjoint operator
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Principle of Linear Superposition
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Classification of PDE
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Introduction to PDE
Description:
Explore a comprehensive 9-hour course on partial differential equations tailored for engineers. Delve into application-oriented problems, generalized 3D problems, and coordinate systems including spherical polar and cylindrical. Master solutions for hyperbolic, elliptical, and parabolic PDEs, with focus on multi-dimensional scenarios. Learn separation of variables in rectangular coordinate systems, properties of adjoint operators, and the generalized Sturm-Liouville problem. Understand the principle of linear superposition, PDE classification, and gain a solid introduction to partial differential equations.

NOC - Partial Differential Equations for Engineers - Solution

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#Mathematics #Differential Equations #Computer Science #Computer Graphics #Coordinate Systems #Partial Differential Equations #Engineering Mathematics #Separation of Variables
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Examples of Application Oriented Problems (Contd.)