Computational Mathematics

This Material on Differential Equations has been taken from

MIR Publishers Moscow 1975

INITIAL VALUE PROBLEMS

 

III. THE PASSAGE METHOD

   
I. GENERAL REMARKS   IV. Finite differences for second order non-linear DEs  
I. TAYLOR SERIES   V. GALERKIN'S METHOD    
III. UNDETERMINED COEFFICIENTS  

VI. COLLOCATION METHOD

   
IV. SUCCESSIVE APPROXIMATIONS  

PARTIAL DIFFERENTIAL EQUATIONS

   
V. EULER'S METHOD   I. FINITE DIFFERENCES    
VI. MODIFIED EULER'S METHOD   II.DIRICHLET PROBLEM    
VII. EULER'S METHOD WITH ITERATION  

III. UNDETERMINED COEFFICIENTS

 
VIII. RUNGE-KUTTA METHOD   IV. CURVILINEAR DOMAINS    
IX. ADAMS' METHOD   V. PARABOLIC EQUATIONS    
X. MILNE'S METHOD   VI. EXPLICIT METHOD FOR PARABOLIC EQUATIONS    
XI.A. N. KRYLOV'S METHOD   VII. HYPERBOLIC EQUATIONS    

ORIDNARY DIFFERENTIAL EQUATIONS

  VIII. FREDHOLM INTEGRAL EQUATIONS    
I. BOUNDARY VALUE PROBLEMS   IX. VOLTERRA INTEGRAL EQUATIONS    
II. FINITE DIFFERENCES   X. DEGENERATE KERNELS