Solving The Time Fractional Coupled Burger 's Equations

"This course is intended to highlight mathematical principles, concepts, and techniques that are often used in scientific applications and illustrate how these techniques are employed in the context of specific problems in physics, chemistry, and biology. Topics include mathematical

The forced-damped method can be used for solving the non-homogeneous equation of motion. According to this method, the steady-state response to exciting forces is calculated by transfer matrices. Moreover, this method uses fewer elements than the lumped mass approach in order to create a realistic model. This method contains terms which are dependent on frequency, thus it requires the

And after for another few derivations, this will lead to the equation of fugacity coefficient used in this exercise.

For standard backpropagation algorithm, an approximate steepest descent rule will be used. The performance index is approximated by equation

equation to loop 1 of Fig. 2 and current balance equation to node 1, the state space equations (1) and (2)

Give optimized bond length lengths and angles using this combination of methods and basis set.

Another form of the Clausius-Clapeyron equation is ln Subscript[P, 2]/Subscript[P, 1]=\[CapitalDelta]H/R ((1/Subscript[T, 1])- (1/Subscript[T, 2])).^2

I΄(t) + (a+bt) I(t) = –[ α + β I(t) + γt]with I(t1)=0,0 ≤ t ≤ t1

The central differencing method is used to find an expression for d2u/dx2 in the form ui-1 +ui+1

INSTRUCTIONS: Read the references found on the Background Info page. Study the examples there, and the ones given below. Work out the problems, showing all the computational steps. This is particularly important for those problems for which the answers are given. On those problems, the correct procedure is the only thing that counts toward the assignment grade.

Algorithm divergence theorem with the control node centered method has been noted by Kanal (2014) to be most trustworthy way of analyzing the electric field in engineering process. This kind of analysis gives the accuracy and stability of the simulation which obtains the tetrahedron solution that involves the system linear

A brief homework exercise of 10 problems will be given to reinforce the fractional modeling concepts.  The students will model each operation, by drawing the shapes and showing what is being done.

This section explains the results obtained from two activities explained in this paper. Appropriate discussion is also given for each activity.

Daftardar-Gejji and Jafari [17] have introduced a new iterative method (NIM) which is simple to

By using a = 1.55 and b = 0.1 as henon map parameter values instead of the classical ones a = 1.4 and b = 0.3, it is achieved similarity between the experimental attractors and the Henon one. Symbolic sequences were generated and it was observed that the pattern of the experimental symbolic planes resembles the Henon symbolic plane. [1]