Finite Difference Method of solving (Second Order ODE) Boundary Value Problem(BVP).
#mathatoz #finite_difference_methode #bvp Gmail: [email protected] Rajkishor Patra (M.Sc Jadavpur University) / mathatozrkpatra Please subscribe me🙏. You can also follow me only for jee mathematics @JeeMathsatoz-RPSir Algorithm, Iteration Formula of Finite Difference Method for solving BVP of ODE. Derivation of method in details. Solve system of linear equations using Gauss-Seidel Iteration Method.👇 • Solve system of linear equations using Gau... Evaluate integration 0 to 1dx/(1+x) by Simpson's 1/3 rule with h=0.25 also the absolute error.👇 • Evaluate integration 0 to 1 dx/(1+x) by Si... Find the quadratic polynomial which takes the same values as f(x) at x= -1,0,1 and integrate it to prove that integration -1 to 1 f(x)dx=1/3[f(-1)+4f(0)+f(1)].👇 • Find the quadratic polynomial which takes ... How big should the spacing h so that error in computing integration 1.8 to 3.4 e^x dx using Trapezoidal rule, is less than or equal to 0.5×10^-5 • How big should the spacing h so that error... Euler's Method & Modified Euler's Method (Euler-Cauchy Method) of solving 1st Order ODE👇 • Euler's Method & Modified Euler's Method (... Geometrical Repreention of Fixed Point Iteration Method.(4th Lecture).👇 • Geometrical Repreention of Fixed Point Ite... Details explanation of Fixed Point Iteration Method(Convergence).(3rd Lecture).👇 • Error Estimation of Fixed Point Iteration ... Details explanation of Fixed Point Iteration Method(Convergence).(2nd Lecture).👇 • Convergence of Fixed Point Iteration Method. Details explanation of Fixed Point Iteration Method(Algorithm).(1st Lecture).👇 • Fixed Point Iteration Method or Method of ... Details explanation on Bisection Method and its convergence, Advantages, and Disadvantages.(2nd Lecture of Bisection Method).👇 • Bisection Method of Numerical Methods. Con... (1St Lecture of Bisection Method)Bisection Method and its geographical representation.👇 • Bisection Method of Numerical Methods. Der... Second degree polynomial passes through (0,5),(2,7),(4,17),(6,35) is.👇 • Second degree polynomial passes through (0... 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+...=e^x[... 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)+(1.3/8.16)∆... 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, wher... 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_i)f[x... 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_1 u_0... 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 Summation ... 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 very... 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)...(x+mh) Prove of ∆logf(x)=log{1+∆f(x)/f(x)} with explanation.👇 • ∆logf(x)=log{1+∆f(x)/f(x)} 3rd Lecture (Part -B)of finite Difference. Definition of shift Operator and Central difference averaging and derivation inter relation.👇 • Difference Operators and their Inter Relat... 3rd Lecture (Part -A)of finite Difference. Definition of shift Operator and Central difference averaging and derivation inter relation.👇 • Difference Operators and their Inter Relat... 2nd Lecture of finite Difference.Shift Operator and Central difference averaging and derivation inter relation.👇 • Forward, Backward, Shift, Central, Averagi... 1st Lecture of finite Difference. Definition of forward and backward difference and derivation inter relation.👇 • Forward Difference and Backward Difference... Links on Error in Numerical Methods.👇 • Given u=x^3y^3/2, if x_0,y_0 be the approx... • If u=xyz+x^3 and error in x,y,z are 0.01, ... • Error on Fundamental Arithmetic Operations... • Error on Fundamental Arithmetic Operations... • Error on Fundamental Arithmetic Operations... • General Formula of Estimation of Errors(Ab... • If 5/6 is represented by 0.8333, find a) r... • Relation between Absolute Error and Number... • Relation between Relative Error and Number... • Maximum value of Absolute Error if number ... • Exact and Approximate Number. Absolute, Re... • Rounding-off number. Rules of Rounding off... • Significant digits or Significant figure o...

Finite Difference Method of solving (Second Order ODE)(BVP). Application with Proper Example.

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