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Let (u_{m}^{n+1}(x)) be an approximate solution of equation (37), and let (w^{n+1}_{m}(x)) be an approximate solution of equations (11 - 12 11 - 12
Pick to be an approximate solution of (4.16), (3.15), that is, let Then, from (4.2) we get Further, from (4.1) we have (4.17).
Let (varphi _{h}) be an approximate solution to (28) in (mathcal {C}^{1} ([0,T]; V^{h}_{0} )), that is, the solution to following problem.
Since the truncated Laguerre wavelets series can be an approximate solution of singular BVPs, one has an error function (E x)) for (mu (x)) as follows: E x)=bigl|mu(x -mathbf{C}^{T}{boldsymbol {Psi}}(x -mathbf{C}^{
Let the exact solution (phi(t)) of the Cauchy problem ((Lambda(t), gamma, theta_{0})) be an approximate solution of system ((Lambda (t))) with the error term (e^{igamma t}xi(t)), where (gamma inmathbb{R}) and (xiinmathcal{W}_{0}^{2}({ mathbb{R}}_, mathbb{C}^{l})).
Let the exact solution (phi(t)) of the Cauchy problem ((Lambda(t), gamma, theta_{0})) be an approximate solution of system ((Lambda (t))) with the error term (e^{igamma t}xi(t)), where (gamma inmathbb{R}), (xiinmathcal{M}subsetmathcal{W}_{0}^{2}( { mathbb{R}}_, mathbb{C}^{l})), and (mathcal{M}:=mathcal{M} _{1}cupmathcal{M}_{2}).
Similar(54)
where x ∗ is an approximate solution.
Each point on the path is an approximate solution.
where is an approximate solution of (1.1), (1.2).
A function is an approximate solution of if and are close in some sense.
Hence, the returned value of Algorithm 2 is an approximate solution of (8).
More suggestions(15)
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com