... the **numerical** **solution** **of** one-dimensional **heat** diffusion **equation** subject to Robin boundary conditions multiplied **with** a small parameter epsilon greater than ...The ...

12

... productivity **of** the process, the possibility **of** formation **of** a dead zone should be taken into ...coordinate **of** the zone-end (the greater the value **of** coordinate the larger the dead ...

11

... deals **with** Newton-Raphson method combined **with** Riks Arc-Length ...techniques **of** resolution are different from previous ...relevance **of** our ...

19

... model **of** a partial differ- ential **equation** **with** discontinuous “on-off” switches in the forcing term, we investigate the effect **of** the model error generated by the traditional discretization ...

12

... the **equation** in [19, ...soliton **solution** was derived **with** the ansatz method and the perturbation theory was ...(shock) **solution** **of** the generalized Rosenau-KdV **equation** ...the ...

9

... results **of** the **numerical** experiments are presented in Tables 1 to ...number **of** iterations for both the acceleration schemes and Krylov subspace acceleration methods reduced drastically **with** ...

8

... discretization **of** the second-order linear Fredholm integro-differential equations by using quadrature and finite difference ...efficiency **of** the GMRES method, Gauss-Seidel (GS) method was used for ...

4

... T x, y, t ∑ T t N x, y (6) Where N x, y ; i , , are the shape functions for the triangle.These shape functions are defined as [8] Depending upon the situation sometimes we do not feel comfortable **with** the ...

9

... Nonetheless, unlike the other two solutions shown, the DGM results do not approx- imate as well as the feed-forward one. Figure (3.4) shows the cross-sectional plots. The main problem **with** the **solution** is ...

46

... evaluation **of** influence **of** selected parameters on sensitivity **of** a **numerical** model **of** ...the **heat** conduction **equation** **with** a **heat** source and solved using the ...

6

... and **numerical** integration **of** stochastic and random differential equations together **with** the local linearization technique to construct an exponential-based integrator to ...the **solution** ...

7

... where r, u, P, d, and t are the den sity, ve loc ity, pres sure, Kronecker delta func tion, and shear stress **of** fluid, re spec tively. The J is the mass diffusivity flux, w – the source term as so ci ated ...

6

... matician **of** great importance. He was **with** Napoleon in Egypt between 1798 and 1801, and he was subsequently prefect **of** the administra- tive area (or “Department”) **of** Isère in France until ...

762

... sequence **of** solitary waves is ...12.51 **with** h = ...pair **of** waves such that, one wave has negative amplitude while the other one has positive as indicated in Figure ...values **of** the quantities ...

28

... presence **of** a distributed **heat** source f ...hard **of** to solve analytically, while a direct **numerical** approach requires a very fine discretization **of** the domain in order to capture the ...

18

... In this work, the Block-Pulse functions and their good properties has been successfully applied to construct approximate solutions for higher order linear and nonlinear weakly singular Volterra integral **equation** ...

4

... reaction **with** ferroelectric behavior in brain waves models (see ...standpoint **of** nonlinear dynamics, it represents a model which exhibits an extremely rich bifurcation ...degree **of** tendency **of** ...

10

... uniqueness **of** the **solution** and an approximate **numerical** **solution** for the model **of** linear thermoelasticity **with** moving ...method **with** finite difference for evolution in ...

22

... properties **of** them is ...the **solution** **of** the two-dimensional Fredholm integral **equation** ...a **numerical** example is solved and compared **with** the results **of** the method in ...

5

... matrices **of** integration and the product for ALPs is ...together **with** the collocation method are applied to reduce the **solution** **of** integral **equation** ...(1.1) **with** assumption (1.2) ...

21