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Here we use the sine-cosine wavelet operational matrix of the fractional integration to solve it.
In Section 4, we apply the modified generalized Laguerre operational matrix of fractional integration to solve linear multi-order FDEs.
Finally, we give the Legendre operational matrix of fractional integration to solve the equation as an example and show the efficiency of the method.
Q6d I am able to use ideas of calculus (e.g. differentiation, integration) to solve word problems that I have not seen before.
Since an expectation function is generally difficult to evaluate exactly, we employ a sample average approximation (SAA) method for numerical integration to solve (2.2).
In particular, we use projective multi-step integration to solve the coarse initial value problem forward in time as well as backward in time (under certain conditions).
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Because higher order elements can be more computationally expensive than the lower order elements, the use of reduced integration for evaluating the stress forces and the use of explicit and implicit numerical integrations to solve the nonlinear dynamic equations of motion are investigated in this paper.
In order to cope with this problem we have modified the rendering algorithm so that it uses a different integration rule to solve the ray integral.
Precise integration methods to solve structural dynamic responses and the corresponding time integration formula are composed of two parts: the multiplication of an exponential matrix with a vector and the integration term.
"It adds a level of resiliency and redundancy that makes the integration easier to solve".
We can now use any numerical integration method to solve DAE systems.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com