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Suitable temperature and displacement functions that identically satisfy the simply supported boundary conditions are used to reduce the thermoelastic equilibrium equations to a set of coupled ordinary differential equations with variable coefficients, which can be solved by differential quadrature method.
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In this paper, two-dimensional Schrödinger equations are solved by differential quadrature method.
In the present work, these two objectives are combined as single objective and optimization problem is solved by differential evolution technique.
Equation (20) can be solved by the simple differential operation.
Unlike Eqs. 13, 14, 17, and 18 are second-order ordinary differential equations and can be solved by writing each second-order differential equation into two first-order ordinary differential equations.
The simplified Eq. (5) can be solved by using a linear differential method.
Some complicated nonlinear dynamics problems including high order aberrations of electron optics systems can be solved by mapping properties of differential algebraic quantities.
This could be solved by adding the extra semantic differential scales: the behaviour is important – unimportant, essential – not essential, significant – insignificant.
System (2) can be solved by other numerical methods for fractional differential equations [26 29].
Real-world problems can be solved by examining the models created via differential or difference equations.
Second, the design problem is solved by the differential evolution metaheuristic algorithm.
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