MATH: P-15 Partial Differential Equations(e-PGP) (English)

   Monday, June 05, 2023   

Starting a new Lecture Notes Series on MATH: P-15 Partial Differential Equations(e-PGP)

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MATH: P-15 Partial Differential Equations(e-PGP)
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Lecture Description of this above Topic:

Lecture 1: Basic Ideas - partial differential equations (Math)

Lecture 2: Simultaneous differential equations of first-order and degree (Math)

Lecture 3: Pfaffian differential equations (Math)

Lecture 4: First order partial differential equations (Math)

Lecture 5: Quasi-linear equations of first order (Math)

Lecture 6: Charpit’s and Jacobi’s methods of solving first-order partial differential equations (Math)

Lecture 7: Nonlinear first order partial differential equations (MATHS)

Lecture 8: Solution satisfying given conditions (Maths)

Lecture 9: Origin of second order equations (Maths)

Lecture 10: Linear partial differential equations with constant coefficients (Maths)

Lecture 11: Second order partial differential equations with variable coefficients (Maths)

Lecture 12: Laplace and poisson equations (Maths)

Lecture 13: Solution of two dimensional laplace equation by seperation of variables (Maths)

Lecture 14: Solution of three dimensional laplace equation by seperation of variables (Maths):

Lecture 15: Introduction to parabolic differential equations (Maths)

Lecture 16: Solution of one dimensional heat equation (Maths)

Lecture 17: Solution of two dimensional heat equation (Maths)

Lecture 18: Solution of three dimensional heat equation (Maths)

Lecture 19: Introduction to hyperbolic differential equations (Maths)

Lecture 20: One dimensional wave equation (Maths)

Lecture 21: Two dimensional wave equation (Maths)

Lecture 22: Three dimensional wave equation (Maths)

Lecture 23: Integral transforms and their inversion formulae (Maths)

Lecture 24: Application of laplace transform to partial differential equations (Maths)

Lecture 25: Application of fourier transform to partial differential equations (Maths)

Lecture 26: Application of hankel and mellin transform to partial differential equations (Maths)

Lecture 27: Finite integral transform and their applications to partial differential equations (Maths)

Lecture 28: Solutions of problems (Maths)

Lecture 29: Eigen function method of solving partial differential equations (Maths)

Lecture 30: Dispersion and dissipation (Maths)

Lecture 31: The korteweg -de vries equation and solutions (Maths)

Lecture 32: Burgers' equation (Maths)

Lecture 33: Schrodinger equation anf solitary waves (Maths)