#mathatoz #fixed_point_iteration_method #numerical_analysis
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Rajkishor Patra (M.Sc Jadavpur University)
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Geometrical Repreention of Fixed Point Iteration Method.(4th Lecture)
Details explanation of Fixed Point Iteration Method(Convergence).(3rd Lecture).👇
• Error Estimation of Fixed Point Itera...
Details explanation of Fixed Point Iteration Method(Convergence).(2nd Lecture).👇
• Convergence of Fixed Point Iteration ...
Details explanation of Fixed Point Iteration Method(Algorithm).(1st Lecture).👇
• Fixed Point Iteration Method or Metho...
Details explanation on Bisection Method and its convergence, Advantages, and Disadvantages.(2nd Lecture of Bisection Method).👇
• Bisection Method of Numerical Methods...
(1St Lecture of Bisection Method)Bisection Method and its geographical representation.👇
• Bisection Method of Numerical Methods...
Second degree polynomial passes through (0,5),(2,7),(4,17),(6,35) is.👇
• Second degree polynomial passes throu...
Prove that u_0+x/1!u_1+x^2/2!+u_2+...=e^x[u_0+x∆u_0+x^2/2!∆^2u_0+...].👇
• Prove that u_0+x/1!u_1+x^2/2!+u_2+......
Prove that u_0+n_c_1u_1x+n_c_2u_3x^3+...=(1+x)^nu_0+(1+x)^(n-1)x∆u_0+(1+x)^(n-2)x^2∆^2u_0+...👇
• Prove that u_0+n_c_1u_1x+n_c_2u_3x^3+...
Prove that u_x-(1/8)∆^2u_(x-1)+(1.3/8.16)∆^4u_(x-2)-....=u_(x+1/2)-1/2∆u_(x+1/2)+....👇
• Prove that u_x-(1/8)∆^2u_(x-1)+(1.3/8...
If f_i is the value of f(x) at x=x_i, where x_i=x_0+ih, i=0,1,2,...n, prove that f(x)=Summation i=0 to n (-u)_c_i (nebla)^i f_n.👇
• If f_i is the value of f(x) at x=x_i,...
Prove of ∆^kf(x)=Summation i=0 to k(-1)^i(k_C_i)f[x+(k-i)h] Or ∆^ky_0=Summation i=0 to k(-1)^i(k_C_i)y_(k-i).👇
• ∆^kf(x)=Summation i=0 to k(-1)^i(k_C_...
Show that Summation x=0 to n=(n+1)_C_1 u_0+(n+1)_C_2∆ u_0+(n+1)_C_3∆^2 u_0+...+∆^nu_0 and hence find 1^3+2^3+....+n^3.👇
• Show that Summation x=0 to n=(n+1)_C_...
Prove of ∆n_C_(x+1)=n_C_x and Summation n=1 to N n_C_x=(N+1)_C_(x+1)-1_C_(x+1).👇
• Prove that ∆n_C_(x+1)=n_C_x and Summa...
Value of ∆^ncos(ax+b) and ∆^nsin(ax+b)👇
• Value of ∆^ncos(ax+b) and ∆^nsin(ax+b)
Prove of Nebla_(n+1)=h[1+1/2 nebla+5/12nebla^2+...]Dy_n, where D is differential operator. With explanation.👇
• Nebla_(n+1)=h[1+1/2 nebla+5/12nebla^2...
Prove of ∆^(n+1)f(x)=h^(n+1)f^(n+1)(x) if h is very small. With explanation.👇
• ∆^(n+1)f(x)=h^(n+1)f^(n+1)(x) if h is...
Prove of ∆^m(1/x)=(-1)^m(m!)h^m/x(x+h)(x+2h)...(x+mh). 👇
• ∆^m(1/x)=(-1)^m(m!)h^m/x(x+h)(x+2h).....
Prove of ∆logf(x)=log{1+∆f(x)/f(x)} with explanation.👇
• ∆logf(x)=log{1+∆f(x)/f(x)}
This is the 3rd Lecture (Part -B)of finite Difference.
Definition of shift Operator and Central difference averaging and derivation inter relation.👇
• Difference Operators and their Inter ...
This is the 3rd Lecture (Part -A)of finite Difference.
Definition of shift Operator and Central difference averaging and derivation inter relation.👇
• Difference Operators and their Inter ...
This is the 2nd Lecture of finite Difference.
Definition of shift Operator and Central difference averaging and derivation inter relation.👇
• Forward, Backward, Shift, Central, Av...
This is the 1st Lecture of finite Difference.
Definition of forward and backward difference and derivation inter relation.👇
• Forward Difference and Backward Diffe...
Given u=x^3y^3/2, if x_0,y_0 be the approximate value of x,y respectively and ∆x_0, ∆y_0 are the
absolute error in them. Determine the relative error.
• Given u=x^3y^3/2, if x_0,y_0 be the a...
If u=xyz+x^3 and error in x,y,z are 0.01, 0.025, 0.03 respectively at x=1, y=2 ,z=3, computing maximum value of absolute and relative error in evaluating u.
• If u=xyz+x^3 and error in x,y,z are 0...
Absolute and relative error on Fundamental Operations, Multiplication and Division.👇
• Error on Fundamental Arithmetic Opera...
Absolute and relative error on Fundamental Arithmetic Operations, Subtraction.👇
• Error on Fundamental Arithmetic Opera...
How to find absolute and relative error on Fundamental Arithmetic Operations, Addition.👇
• Error on Fundamental Arithmetic Opera...
How to estimate the error in general.👇
• General Formula of Estimation of Erro...
Solution of two important problem based on relative and percentage error.👇
• If 5/6 is represented by 0.8333, find...
Relation between absolute error and decimal place with application.👇
• Relation between Absolute Error and N...
Relation between relative error and number of significant digits with application.👇
• Relation between Relative Error and N...
Maximum value of Absolute error.👇
• Maximum value of Absolute Error if nu...
Absolute, Relative and Percentage error. Exact number and approximate number.👇
• Exact and Approximate Number. Absolut...
Round off a number and rules of round off.👇
• Rounding-off number. Rules of Roundin...
Significant digits or figure and how to find the number of significant digits of a number.👇
• Significant digits or Significant fig...
Different sources of error in numerical method.👇
• Sources of error (1) Inherent error....
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