Linear and Nonlinear Integral Equations:Methods and Applications[M].Berlin:Springer-Verlag/Beijing:Higher Education Press 2011.AM Wazwaz. Linear and Nonlinear Integral Equations. Higher Education Press, Berlin,
,m are kernels of integral equations and μi(r),i=1,2,3,…,m=[μ1,μ2,…,μm]T are unknown solutions to be calculated fi(r) are real valued functions and ϕi(μ(s)) are linear or nonlinear function of μ1(s),μ2(s),μ3(s),…,μm(s). Let the solution of (1) ...
The numerical solution of the bi-dimensional nonlinear Poisson equations under Cauchy boundary conditions is considered. Using Green identity we show that this problem is equivalent to solve a bi-dimensional Fredholm integral equation of the first kind which can in turn be handled as a bi-...
boundary-domain integral methodexact solutionnonlinear wave equations 1D2D3DWe develop three reliable iterative methods for solving the nonlinear 1D, 2D and 3D second-order wave equation and compare the results with a discretization-based solver. The iterative Tamimi-Ansari method (TAM), Daftardar-...
We establish the existence and uniqueness of continuous solutions to systems of linear and nonlinear integral equations with partial integrals, with partial integrals and potential type kernels, and fractional partial integrals. We obtain conditions guaranteeing that the solutions have continuous partial deri...
In the case of PMUT, peculiar nonlinear dynamic regimes can show up when the radius over thickness ratio is very high and the vibrating membranes enter in non-linear regime due to membrane-bending coupling and due to the influence of residual stresses and pre-deformed configurations. Micro-pumps...
How to solve for upper limit of integral? 3 답변 how to solve DAEs with integral 0 답변 카테고리 Mathematics and Optimization Optimization Toolbox Systems of Nonlinear Equations Help Center 및 File Exchange에서 Systems of Nonlinear...
Solving linear, nonlinear equations, ordinary differential equations, ... using numerical methods in fortran fortran ode integral ordinary-differential-equations linear-equations nonlinear-equations numerical-methods sde stochastic-differential-equations plot-fortran non-uniform-random-variate quadrature-integration...
A number of finite element discretization techniques based on two (or more) subspaces for nonlinear elliptic partial differential equations (PDEs) is presented. Convergence estimates are derived to justify the efficiency of these algorithms. With the new proposed techniques, solving a large class of ...
INTEGRAL equationsNONLINEAR equationsCONTRACTION operatorsFIXED point theoryMETRIC spacesIn this article, we introduce and establish various approaches related to the F-contraction using new sorts of contractions, namely the extended F B e -contraction, the extended F B e -expanding contraction, and ...