2.1.11.7 Book 7

2 Background 1.2 Cosmological 1.2.11 Mathematics

Book 9 2.1.11.9

Book 8 - Computational Mathematics

This Material on Differential Equations has been taken from

MIR Publishers Moscow 1975


CHAPTER 8 INITIAL VALUE PROBLEMS

01 General Remarks
02 Taylor Series
03 Undetermined Coefficients
04 Successive Approximations
05 Euler's Method
06 Modified Euler's Method
07 Euler's Method with Iteration
08 Runge-Kutta Method
09 Adams' Method
10 Milne's Method
11 ANKrylov's Method

CHAPTER 9 ORIDNARY DIFFERENTIAL EQUATIONS

01 Boundary Value Problems
02 Finite Differences

03 The Passage Method

04 Finite Differences for Second Order
 Non-linear Differential Equations
05 Galerkin's Method

06 Collocation Method

Index

CHAPTER 10 PARTIAL DIFFERENTIAL EQUATIONS

01 Finite Differences
02 Dirichlet Problem

03 Undetermined Coefficients

04 Curvilinear Domains
05 Parabolic Equations
06 Explicit Method for Parabolic Equations
07 Hyperbolic Equations
08 Fredholm Integral Equations
09 Volterra Integral Equations
10 Degenerate Kernels

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