A simple algorithm for numerical solution of nonlinear parabolic partial differential equations
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DOI: 10.1007/s00366-019-00796-z
Abstract: In this paper, numerical solution of nonlinear two-dimensional parabolic partial differential equations with initial and Dirichlet boundary conditions is considered. The time derivative is approximated using finite difference scheme whereas space derivatives are approximated using… read more here.
Keywords: partial differential; numerical solution; solution nonlinear; method ... See more keywords
Large Time Behavior of Solution to Nonlinear Dirac Equation in 1+1 Dimensions
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DOI: 10.1007/s10473-019-0221-7
Abstract: This paper studies the large time behavior of solution for a class of nonlinear massless Dirac equations in R1+1. It is shown that the solution will tend to travelling wave solution when time tends to… read more here.
Keywords: solution nonlinear; time; behavior solution; time behavior ... See more keywords
A novel iterative method for the solution of a nonlinear matrix equation
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DOI: 10.1016/j.apnum.2020.03.012
Abstract: Abstract This paper provides a novel inversion free variant of the fixed point iteration strategy to obtain a maximal positive definite solution for the nonlinear matrix equation X + A ⁎ X − 1 A… read more here.
Keywords: matrix equation; solution nonlinear; nonlinear matrix; method ... See more keywords
Global solution of nonlinear stochastic heat equation with solutions in a Hilbert manifold
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DOI: 10.1142/s0219493720400122
Abstract: The objective of this paper is to prove the existence of a global solution to a certain stochastic partial differential equation subject to the L2-norm being constrained. The corresponding evolutio... read more here.
Keywords: nonlinear stochastic; global solution; solution nonlinear; solution ... See more keywords
Extension of Operational Matrix Technique for the Solution of Nonlinear System of Caputo Fractional Differential Equations Subjected to Integral Type Boundary Constrains
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DOI: 10.3390/e23091154
Abstract: We extend the operational matrices technique to design a spectral solution of nonlinear fractional differential equations (FDEs). The derivative is considered in the Caputo sense. The coupled system of two FDEs is considered, subjected to… read more here.
Keywords: system; solution nonlinear; solution; fractional differential ... See more keywords
Numerical Solution of Nonlinear Schrödinger Equation with Neumann Boundary Conditions Using Quintic B-Spline Galerkin Method
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DOI: 10.3390/sym11040469
Abstract: This paper is concerned with the numerical solution of the nonlinear Schrödinger (NLS) equation with Neumann boundary conditions by quintic B-spline Galerkin finite element method as the shape and weight functions over the finite domain.… read more here.
Keywords: schr dinger; nonlinear schr; solution nonlinear; method ... See more keywords