Found 135 Documents (Results 1–100)
Symmetry analysis, closed-form invariant solutions and dynamical wave structures of the Benney-Luke equation using optimal system of Lie subalgebras. (English) Zbl 1541.35379
Numerical solutions of the integro-partial fractional diffusion heat equation involving tempered \(\psi \)-Caputo fractional derivative. (English) Zbl 1535.65125
Convergence and application of a modified double Laplace transform (MDLT) in some equations of mathematical physics. (English) Zbl 1538.35013
Analytical solutions for time-fractional Radhakrishnan-Kundu-Lakshmanan equation. (English) Zbl 1522.35568
A collocation algorithm based on septic B-splines and bifurcation of traveling waves for Sawada-Kotera equation. (English) Zbl 1540.65415
Semi-analytical solution of solute dispersion model in semi-infinite media. (English) Zbl 1535.65256
A semi-analytical solution for free vibration analysis of a step beam with multiple concentrated masses using variational iteration method. (English) Zbl 07881094
An extended algebraic method to the fractional diffusive predator-prey model. (English) Zbl 1503.92057
Reviewer: Jian-Wen Sun (Lanzhou)
Variational principle and approximate solution for the fractal generalized Benjamin-Bona-Mahony-Burgers equation in fluid mechanics. (English) Zbl 1482.35009
Variational principle and approximate solution for the generalized Burgers-Huxley equation with fractal derivative. (English) Zbl 1482.35008
An analysis of time-fractional heat transfer problem using two-scale approach. (English) Zbl 1480.35386
New modified variational iteration Laplace transform method compares Laplace Adomian decomposition method for solution time-partial fractional differential equations. (English) Zbl 1499.65599
Residual power series method for solving nonlinear reaction-diffusion-convection problems. (English) Zbl 1488.35314
Fractional variational iteration method for time fractional fourth-order diffusion-wave equation. (English) Zbl 1429.65263
Singh, Jagdev (ed.) et al., Mathematical modelling, applied analysis and computation. Selected papers of the first international conference, ICMMAAC 2018, JECRC University, Jaipur, India, July 6–8, 2018. Singapore: Springer. Springer Proc. Math. Stat. 272, 169-178 (2019).
An iterative method for suboptimal control of a class of nonlinear time-delayed systems. (English) Zbl 1425.93122
Solution of non-linear fractional differential equations by variational iteration method and applications. (English) Zbl 1425.35225
Numerical simulation of the Lorenz-type chaotic system using barycentric Lagrange interpolation collocation method. (English) Zbl 1415.65178
New approach to identifying solitary wave solutions of modified Kawahara equation. (English) Zbl 1476.35225
Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 11th international conference, LSSC 2017, Sozopol, Bulgaria, June 5–9, 2017. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 10665, 527-535 (2018).
Small-amplitude free vibrations of straight beams subjected to large displacements and rotation. (English) Zbl 1480.74106
A new iterative technique for a fractional model of nonlinear Zakharov-Kuznetsov equations via Sumudu transform. (English) Zbl 1427.65322
On the new double integral transform for solving singular system of hyperbolic equations. (English) Zbl 1438.35279
An optimal method for approximating the delay differential equations of noninteger order. (English) Zbl 1446.35012
Solitary wave solutions with non-monotone shapes for the modified Kawahara equation. (English) Zbl 1432.76189
Improving variational iteration method with auxiliary parameter for nonlinear time-fractional partial differential equations. (English) Zbl 1376.65124
He’s variational iteration method for the solution of nonlinear Newell-Whitehead-Segel equation. (English) Zbl 1463.35305
Convergence of variational iteration method applied to two-point diffusion problems. (English) Zbl 1471.65097
High-order compact finite difference and Laplace transform method for the solution of time-fractional heat equations with dirchlet and Neumann boundary conditions. (English) Zbl 1343.65111
Alternative variational iteration method for solving the time-fractional Fornberg-Whitham equation. (English) Zbl 1443.65278
Analytic solutions of the space-time fractional combined KdV-mkdv equation. (English) Zbl 1394.35539
Classification of multiply travelling wave solutions for coupled Burgers, combined KdV-modified KdV, and Schrödinger-KdV equations. (English) Zbl 1356.35208
Variational iteration method for Volterra functional integrodifferential equations with vanishing linear delays. (English) Zbl 1442.45006
Two hybrid methods for solving two-dimensional linear time-fractional partial differential equations. (English) Zbl 1474.65389
Convergence of variational iteration method for solving singular partial differential equations of fractional order. (English) Zbl 1474.65407
Variational iteration method for a fractional-order Brusselator system. (English) Zbl 1470.34051
MSC:
34A45
Numerical methods for fractional order singular partial differential equations with variable coefficients. (English) Zbl 1407.65241
MSC:
65M99
Self-adjoint singularly perturbed second-order two-point boundary value problems: a patching approach. (English) Zbl 1427.65125
RETRACTED: The general (vector) solutions of such linear (coupled) matrix fractional differential equations by using Kronecker structures. (English) Zbl 1410.34012
Appl. Math. Comput. 232, 498-510 (2014); retraction notice ibid 361, 889 (2019).
MSC:
34A08
On the solutions of nonlinear fractional Klein-Gordon equation with modified Riemann-Liouville derivative. (English) Zbl 1334.35393
Solution of initial and boundary value problems by the variational iteration method. (English) Zbl 1314.65108
A comparison between the variational iteration method and the successive approximations method. (English) Zbl 1312.65224
MSC:
65R20
A variational approach for a class of nonlocal elliptic boundary value problems. (English) Zbl 1312.34103
Solution of nonlinear partial differential equations by new Laplace variational iteration method. (English) Zbl 1288.35016
MSC:
35A22
Fractional variational iteration method and its application to fractional partial differential equation. (English) Zbl 1299.35059
Improved \((G'/G)\)-expansion method for the space and time fractional foam drainage and KdV equations. (English) Zbl 1293.35007
Efficient computational algorithms for solving one class of fractional boundary value problems. (Russian, English) Zbl 1299.35308
Zh. Vychisl. Mat. Mat. Fiz. 53, No. 7, 1107-1107 (2013); translation in Comput. Math. Math. Phys. 53, No. 7, 920-932 (2013).
Fractional variational homotopy perturbation iteration method and its application to a fractional diffusion equation. (English) Zbl 1273.65157
Application of variational iteration method for Hamilton-Jacobi-Bellman equations. (English) Zbl 1270.49004
MSC:
49J20
Variational iteration method for nonlinear singular two-point boundary value problems arising in human physiology. (English) Zbl 1272.34019
Self-adjoint singularly perturbed boundary value problems: an adaptive variational approach. (English) Zbl 1290.65064
Reviewer: Thomas Sonar (Braunschweig)
Approximate analytic solutions of the modified Kawahara equation with homotopy analysis method. (English) Zbl 1387.35016
Solution of time-varying delay systems using an adaptive collocation method. (English) Zbl 1291.65246
MSC:
65L60
Solving the fractional Rosenau-Hyman equation via variational iteration method and homotopy perturbation method. (English) Zbl 1267.35244
New traveling wave solutions by the extended generalized Riccati equation mapping method of the \((2 + 1)\)-dimensional evolution equation. (English) Zbl 1267.35067
A Laplace variational iteration strategy for the solution of differential equations. (English) Zbl 1252.65128
Variational iteration method for the time-fractional Fornberg-Whitham equation. (English) Zbl 1247.65138
The approximate solution of fractional Fredholm integrodifferential equations by variational iteration and homotopy perturbation methods. (English) Zbl 1242.65284
Generalisation of the Lagrange multipliers for variational iterations applied to systems of differential equations. (English) Zbl 1235.65089
MSC:
65L99
A new efficient technique for finding the solution of initial-value problems using He’s variational iteration method. (English) Zbl 1228.65110
Convergence of the variational iteration method for the telegraph equation with integral conditions. (English) Zbl 1232.65134
Reviewer: Vit Dolejsi (Praha)
Convergence of the variational iteration method for solving multi-delay differential equations. (English) Zbl 1219.65086
An analytical approach to the fornberg-whitham type equations by using the variational iteration method. (English) Zbl 1219.65120
Exact solitary solutions of an inhomogeneous modified nonlinear Schrödinger equation with competing nonlinearities. (English) Zbl 1217.35173
Preconditioned modified AOR method for systems of linear equations. (English) Zbl 1226.65023
Reviewer: Constantin Popa (Constanţa)
The use of variational iteration method and Adomian decomposition method to solve the eikonal equation and its application in the reconstruction problem. (English) Zbl 1218.65112
Modified step variational iteration method for solving fractional biochemical reaction model. (English) Zbl 1222.65111
The use of He’s variational iteration method for solving the telegraph and fractional telegraph equations. (English) Zbl 1210.65173
MSC:
65M70
Solution of a nonlinear time-delay model in biology via semi-analytical approaches. (English) Zbl 1219.65062
The variational iteration method for solving Riesz fractional partial differential equations. (English) Zbl 1205.65287
Variational iteration method for singular perturbation initial value problems. (English) Zbl 1205.65210
He’s variational iteration method for treating nonlinear singular boundary value problems. (English) Zbl 1201.65142
MSC:
65L99
Solution of parabolic integro-differential equations arising in heat conduction in materials with memory via He’s variational iteration technique. (English) Zbl 1192.65158
MSC:
65R20
Extracting a general iterative method from an Adomian decomposition method and comparing it to the variational iteration method. (English) Zbl 1189.65245
MSC:
65M99
The approximate solution of steady temperature distribution in a rod: Two-point boundary value problem with higher order nonlinearity. (English) Zbl 1194.34045
Convergence of the variational iteration method for solving a first-order linear system of PDEs with constant coeffcients. (English) Zbl 1463.35175
Analytical solution of three-dimensional Navier-Stokes equations for the flow near an infinite rotating disk. (English) Zbl 1221.76207
Application of the multistage homotopy-perturbation method to solve a class of hyperchaotic systems. (English) Zbl 1198.65158
Variational iteration method for solving the wave equation subject to an integral conservation condition. (English) Zbl 1198.65202
Application of He’s variational iteration method for solution of differential-algebraic equations. (English) Zbl 1198.65154
MSC:
65L99
Numerical and explicit solutions of the fifth-order Korteweg-de Vries equations. (English) Zbl 1197.65165
Variational iteration method for solving non-linear partial differential equations. (English) Zbl 1197.35227
The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics. (English) Zbl 1189.65254
Variational iteration method for solving a generalized pantograph equation. (English) Zbl 1189.65172
MSC:
65L99
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