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Details
Transforms and Partial Differential Equations (All Units) Handwritten Premium Lecture Notes, Prepared by Kamalapriya. Specially for Engineering Candidates. Syllabus Covered based on Anna University Third Semester.
Syllabus :
TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATION
UNIT-1
FOURIER SERIES
UNIT-2
APPLICATION OF PARTIAL DIFFERENTIAL EQUATION
UNIT-3
FOURIER TRANSFORM
UNIT-4
Z-TRANSFORM
UNIT-5PARTIAL DIFFERENTIAL EQUATION
Content :
UNIT-1
FOURIER SERIES
Periodic function
Sum of fourier series
Parsevals identity
Half range cosine series
Half range sine series
Half range sine series (0,l)
Half range sine series (0,PI)
Harmonic analysisUNIT-2
APPLICATION OF PARTIAL DIFFERENTIAL EQUATION
CLASSIFICATION OF PDE
One dimensional wave equation
One dimensional heat equation
Two dimensional heat equation
UNIT-3
FOURIER TRANSFORM
Parsevals identity
Change of scale propertity
Shifting propertity
Modulation property
Modulation property
Cosine transform
UNIT-4
Z-TRANSFORM
Shifting theorem
Initial value theorem
Final value theorem
Inverse z-transform
Formation of difference equation
UNIT-5
PARTIAL DIFFERENTIAL EQUATION
Formation of PDE
Formation of PDE by eliminating arbitrary function
Clairaut’s form
Standard type problems
Second order partial diff equation - Additional Information
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Additional Information
Pages 251 Author Kamalapriya - Reviews
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