dy/dx - = 1 - y,y(0) = 0 is an example of

[zareen]

3rd

[zareen]

Richardson extrapolation is method also known as ………… MTH603
Sequence acceleration method
Series acceleration method

[zareen]

In Simpson’s 1/3 rule, the global error is of ……………… MTH603

O(h2)

O(h3)

O(h4) Page=171

Non of the given choices

[zareen]

[zareen]

δ = E 1/2 - E 1/2

[zaasmi]

@zareen said in MTH603 Quiz 1 Solution and Discussion:

Sequence acceleration method

In mathematics, series acceleration is one of a collection of sequence transformations for improving the rate of convergence of a series. Techniques for series acceleration are often applied in numerical analysis, where they are used to improve the speed of numerical integration.

link text

[zaasmi]

@zareen said in MTH603 Quiz 1 Solution and Discussion:

Series acceleration method

In mathematics, series acceleration is one of a collection of sequence transformations for improving the rate of convergence of a series. Techniques for series acceleration are often applied in numerical analysis, where they are used to improve the speed of numerical integration.
link text

[zaasmi]

@zareen said in MTH603 Quiz 1 Solution and Discussion:

In Newton-Cotes formula for finding the definite integral of a tabular function, which of the following is taken as an approximate function then find the desired integral? MTH603

In numerical analysis, Simpson’s method is a method for numerical integration, the numerical approximation of definite integrals. … Simpson’s rule also corresponds to the three-point Newton-Cotes quadrature rule

link text

[zaasmi]

@zareen said in MTH603 Quiz 1 Solution and Discussion:

Trigonometric Function

In mathematics, the trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others.

link text

[zaasmi]

@zareen said in MTH603 Quiz 1 Solution and Discussion:

Exponential Function

In mathematics, an exponential function is a function of the form. where b is a positive real number, and in which the argument x occurs as an exponent. For real numbers c and d, a function of the form is also an exponential function, as it can be rewritten as.

link text

[zaasmi]

@zareen said in MTH603 Quiz 1 Solution and Discussion:

Logarithmic Function

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.
link text

[zaasmi]

@zareen said in MTH603 Quiz 1 Solution and Discussion:

Polynomial Function

In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. An example of a polynomial of a single indeterminate, x, is x² − 4x + 7
link text

[zaasmi]

@zareen said in MTH603 Quiz 1 Solution and Discussion:

While using the Composite Trapezoidal form for integrating y = f(x) in [0,10] which is subdivided in equally spaced interval of width ‘h =2’, then which of the following is the area of associated trapezoidal strip over subinterval:[2,4] ? MTH603

In mathematics, and more specifically in numerical analysis, the trapezoidal rule is a technique … The trapezoidal rule works by approximating the region under the graph of the … {\displaystyle {d^{2}g_{k} \ over dt.

link text

[zaasmi]

@zareen said in MTH603 Quiz 1 Solution and Discussion:

(y2 + y4)/2

IR Row Orbital Symmetry function Bonding a1 s(M) s( M) Sigma s(L) (s1 +s2+s3+s4)/2 p(L) (x1+y1+z1−x2− y2+z2−x3+y3 −z3 +x4− y4−z4)/ √ 12 e 1 d(M) dx2 (M)

link text

[zaasmi]

@zareen said in MTH603 Quiz 1 Solution and Discussion:

For a function ‘f(x) = x’, with a step size of ‘h=0.01’, which of the following gives the 1st derivative at x =1 by using two point formula? MTH603

approximate the function f (x) = cos x by the series. 2. 4. 2 … An equation f(x)=0 is said to be the algebraic equation in x if it is purely a … between these two points and therefore, a root lies between these two points.

link text

[zaasmi]

@zareen said in MTH603 Quiz 1 Solution and Discussion:

Y’=(x)=1+Some truncation Error

EXAMPLE 1 Bound for Local Truncation Error Find a bound for the local … the local truncation error for any of the five steps given in Table 6.1.1 by replacing c by …
link text