Current Issue : July - September Volume : 2020 Issue Number : 3 Articles : 5 Articles
In this work, the Sumudu decomposition method (SDM) is utilized to obtain the approximate solution of two-dimensional\nnonlinear system of Burgerâ??s differential equations. This method is considered to be an effective tool in solving many problems.\nOur results have shown that the SDM offers a much better approximation for solving several numbers of systems of twodimensional\nnonlinear Burgerâ??s differential equations. To clarify the facility and accuracy of the strategy, two examples\nare provided....
A standard method is proposed to prove strictly that the Riemann Zeta function\nequation has no non-trivial zeros. The real part and imaginary part of the\nRiemann Zeta function equation are separated completely...........................
In the present paper, we study the blowup of the solutions to the full compressible Euler system and pressureless Euler-Poisson\nsystem with time-dependent damping. By some delicate analysis, some Riccati-type equations are achieved, and then, the finite\ntime blowup results can be derived....
Two new orthogonal functions named the left- and the right-shifted fractional-order Legendre polynomials (SFLPs) are proposed.\nSeveral useful formulas for the SFLPs are directly generalized from the classic Legendre polynomials. The left and right fractional\ndifferential expressions in Caputo sense of the SFLPs are derived. As an application, it is effective for solving the fractional-order\ndifferential equations with the initial value problem by using the SFLP tau method....
In this paper, the Sobolev embedding theorem, Holder inequality, the Lebesgue contrl\nconvergence theorem, the operator norm estimation technique, and critical point theory are employed\nto prove the existence of nontrivial stationary solution for p-Laplacian diffusion system with\ndistributed delays. Furthermore, by giving the definition of pth moment stability, the authors use\nthe Lyapunovfunctional method and Kamke function to derive the stability of nontrivialstationary\nsolution. Moreover, a numerical example illuminates the effectiveness of the proposed methods.\nFinally, an interesting further thought is put forward, which is conducive to the in-depth study of\nthe problem....
Loading....