Please enable JavaScript.

Coggle requires JavaScript to display documents.

Integral Equations, Assignment 03 Name: Osama Azhar Reg No: 230811002 …

- - - - 1st kind
        
        Methods
        
        Method of Regularization
        
        Use any 2nd kind method
      - 2nd kind
        
        Methods
        
        Adomian Decomposition Method
        
        Variational Iteration Method
        
        Direct Computation Method
    - - 1st kind
        
        Methods
        
        Series Solution Method
        
        Convert to 2nd kind
        
        Apply any of 2nd kind methods
      - 2nd kind
        
        Methods
        
        Series Solution Method
        
        Adomian Decomposition Method
        
        Variational Iteration Method
  - - - 1st kind
        
        Method
        
        Convert 1st kind to 2nd kind VIE
        
        Can be solved by using methods of 2nd kind
        
        Laplace Transform
      - 2nd kind
        
        Method
        
        Variational Iteration Method
        
        Converts Integral Equation into integro differential equation
        
        The Adomian Decomposition Method
        
        Can be applied on any linear Volterra Integral equation
        
        Successive Approximation Method
        
        Works by using previous iterations
        
        Successive Substitution method
        
        Using Substitutions
        
        Converting to IVP and then solving ODE
        
        Exact solution
        
        Series Solution Method
        
        Applies on degenerate kernel.
        
        Laplace Transformation Method
        
        Only for separation kernel
    - - 1st kind
        
        Convert 1st kind to 2nd kind
        
        Now can be solved using 2nd kind methods
        
        Method
        
        Method of regularization
      - 2nd kind
        
        Methods
        
        Adomian Decomposition Method
        
        Can be applied to all problems
        
        Variational Iteration Method
        
        Converts IE to Integro DE
        
        Direct Computation Method
        
        When kernel is degenerate
        
        Convert into BVP
        
        Gives Exact solution
        
        Successive Substitution Method
        
        Uses substitutions Method
        
        Successive Approximation Method
        
        Uses previous Iterations
  - - - Methods
        
        The Variational Iteration Method
        
        Direct computation Method
        
        Convert to 2nd kind Fredhol Integral Equation
        
        Use 2nd kind Methods
        
        Adomian Decomposition Method
    - - Method
        
        Series Solution Method
        
        Adomian Decomposition Method
        
        Variational Iteration Method
        
        Convert to TBVP
        
        Convert to 2nd kind VIE