Found 138 Documents (Results 1–100)
A novel hybrid approach to solve non-linear fractional partial differential equations via new integral transform. (English) Zbl 1534.35430
A mathematical study on non-linear ordinary differential equation for magnetohydrodynamic flow of the Darcy-Forchheimer nanofluid. (English) Zbl 07809626
Numerical solutions for the \(f(R)\)-Klein-Gordon system. (English) Zbl 1519.83066
Classical Quantum Gravity 40, No. 17, Article ID 175009, 30 p. (2023); corrigendum ibid. 40, No. 24, Article ID 249503, 3 p. (2023).
Some computational convergent iterative algorithms to solve nonlinear problems. (English) Zbl 07695267
MSC:
65-XX
Numerical solution for nonlinear problems. (English) Zbl 07909235
Mohiuddine, S. A. (ed.) et al., Approximation theory, sequence spaces and applications. Cham: Springer. Ind. Appl. Math., 163-186 (2022).
A comparative study on some semi-analytical methods for the solutions of fractional partial integro-differential equations. (English) Zbl 1524.35707
Iterative algorithm and theoretical treatment of existence of solution for \((k, z)\)-Riemann-Liouville fractional integral equations. (English) Zbl 1496.45005
Reviewer: Yogesh Sharma (Sardarpura)
Analytical solution of time fractional Kawahara and modified Kawahara equations by homotopy analysis method. (English) Zbl 1499.65605
The analysis of the fractional-order Navier-Stokes equations by a novel approach. (English) Zbl 1489.35298
Periodic solutions for certain non-smooth oscillators with high nonlinearities. (English) Zbl 1506.34052
On some generalized non-linear functional integral equations of two variables via measures of noncompactness and numerical method to solve it. (English) Zbl 1486.45008
A numerical method for solvability of some non-linear functional integral equations. (English) Zbl 1490.65313
Existence criteria and solution search by the analytic technique of functional integral equation. (English) Zbl 1473.45007
Solvability for generalized nonlinear functional integral equations in Banach spaces with applications. (English) Zbl 1476.45011
Measure of noncompactness of a new space of tempered sequences and its application on fractional differential equations. (English) Zbl 1502.47067
The gauge symmetries of \(f(\mathcal{R})\) gravity with torsion in the Cartan formalism. (English) Zbl 1478.83209
Solving nonlinear integro-differential equations by using numerical techniques. (English) Zbl 1474.65516
From simplicial homotopy to crossed module homotopy in modified categories of interest. (English) Zbl 1467.55012
Reviewer: Osman Mucuk (Kayseri)
A powerful approach to study the new modified coupled Korteweg-de Vries system. (English) Zbl 1510.65308
Detecting exotic spheres in low dimensions using coker \(J\). (English) Zbl 1460.55017
Reviewer: Dae-Woong Lee (Jeonju)
Mathematical analysis of heat and mass transfer effects on steady MHD flow. (English) Zbl 1538.76208
A mathematical study on MHD boundary layer flow of nanofluid and heat transfer over a porous exponentially stretching sheet. (English) Zbl 07740771
Solvability of infinite systems of nonlinear integral equations in two variables by using semi-analytic method. (English) Zbl 1499.45013
Parametrized complexity of expansion height. (English) Zbl 07525450
Bender, Michael A. (ed.) et al., 27th annual European symposium on algorithms, ESA 2019, Munich/Garching, Germany, September 9–11, 2019. Proceedings. Wadern: Schloss Dagstuhl – Leibniz-Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 144, Article 13, 15 p. (2019).
MSC:
68Wxx
Noether symmetries and boundary terms in extended teleparallel gravity cosmology. (English) Zbl 1476.83179
Usage modified of homotopy perturbation and Adomian decomposition techniques for solving Fredholm integral equations. (English) Zbl 1465.65166
Modified Laplace variational iteration method for solving fourth-order parabolic partial differential equation with variable coefficients. (English) Zbl 1442.65317
MSC:
65M80
An iterative algorithm to find a closed form of solution for Hammerstein nonlinear integral equation constructed by the concept of cosm-rs. (English) Zbl 1447.45007
Solvability of infinite system of nonlinear singular integral equations in the \(C(I \times I, c)\) space and modified semi-analytic method to find a closed-form of solution. (English) Zbl 1449.45007
Application of simulation function and measure of noncompactness for solvability of nonlinear functional integral equations and introduction to an iteration algorithm to find solution. (English) Zbl 1428.45003
New numerical techniques for solving fractional partial differential equations in conformable sense. (English) Zbl 1447.35366
Ostalczyk, Piotr (ed.) et al., Non-integer order calculus and its applications. Papers of the 9th international conference on non-integer order calculus and its applications, Łódź, Poland, October 11–13, 2017. Cham: Springer. Lect. Notes Electr. Eng. 496, 49-62 (2019).
Approximate analytical solutions to conformable modified Burgers equation using homotopy analysis method. (English) Zbl 1420.35058
Modified approach to solve nonlinear equation arising in infiltration phenomenon. (English) Zbl 1453.76189
A reliable technique for fractional modified Boussinesq and approximate long wave equations. (English) Zbl 1459.35385
A fast-converging iterative scheme for solving a system of Lane-Emden equations arising in catalytic diffusion reactions. (English) Zbl 1414.92236
Application of the Caputo-Fabrizio and Atangana-Baleanu fractional derivatives to mathematical model of cancer chemotherapy effect. (English) Zbl 1419.92009
Reviewer: Kai Diethelm (Schweinfurt)
A new modified definition of Caputo-fabrizio fractional-order derivative and their applications to the multi step homotopy analysis method (MHAM). (English) Zbl 1402.26005
An investigation on reliable analytical and numerical methods for the Riesz fractional nonlinear Schrödinger equation in quantum mechanics. (English) Zbl 1407.65127
A study of some reliable methods for solving fuzzy Volterra-Fredholm integral equations. (English) Zbl 1424.65250
A different approach to the European option pricing model with new fractional operator. (English) Zbl 1405.91658
Solving a modified nonlinear epidemiological model of computer viruses by homotopy analysis method. (English) Zbl 1417.92193
New higher order iterative methods for solving nonlinear equations. (English) Zbl 1405.65068
Reviewer: Nikolay Kyurkchiev (Plovdiv)
MSC:
65H05
Application of modified couple stress theory and homotopy perturbation method in investigation of electromechanical behaviors of carbon nanotubes. (English) Zbl 1488.35527
MSC:
35Q70
Nonpolynomial spline technique for the solution of ninth order boundary value problems. (English) Zbl 1424.65103
New fifth and sixth order iteration schemes for solving nonlinear equations. (English) Zbl 1495.47102
Impact of linear operator on the convergence of HAM solution: a modified operator approach. (English) Zbl 1488.76004
Based on modified homotopy perturbation method for solving linear fractional partial differential equation. (Chinese. English summary) Zbl 1374.35018
Comparison of two reliable analytical methods based on the solutions of fractional coupled Klein-Gordon-Zakharov equations in plasma physics. (English) Zbl 1432.35230
Application of modified optimal homotopy perturbation method to higher order boundary value problems in a finite domain. (English) Zbl 1359.34021
Retracted: “New higher order multi-step methods for solving scalar equations”. (English) Zbl 1472.65057
J. Nonlinear Sci. Appl. 9, No. 3, 1306-1315 (2016); retracted.
MSC:
65H10
Mathematical analysis of an enzyme-entrapped conducting polymer modified electrode. (English) Zbl 1443.92032
MSC:
92-10
Extension of the Sumudu homotopy perturbation method to an attractor for one-dimensional Keller-Segel equations. (English) Zbl 1443.65267
A numerical investigation of time-fractional modified Fornberg-Whitham equation for analyzing the behavior of water waves. (English) Zbl 1410.76034
A comparative study on the analytic solutions of fractional coupled sine-Gordon equations by using two reliable methods. (English) Zbl 1338.35480
Analytical approximate solutions of Riesz fractional diffusion equation and Riesz fractional advection-dispersion equation involving nonlocal space fractional derivatives. (English) Zbl 1334.35396
MSC:
35R11
Efficient low-error analytical-numerical approximations for radial solutions of nonlinear Laplace equations. (English) Zbl 1326.65171
Exact solutions of fractional heat-like and wave-like equations with variable coefficients. (English) Zbl 1356.35273
The application of modified homotopy analysis method for solving linear and non-linear inhomogeneous Klein-Gordon equations. (English) Zbl 1340.65241
The analytical solutions of the time-fractional Newell-Whithead equation by the method of modified homotopy perturbation and separating variables. (English) Zbl 1335.35271
MSC:
35R11
Solutions of boundary detection problem for modified Helmholtz equation by Trefftz method. (English) Zbl 1304.65241
A semi-analytical technique for the solution of differential-algebraic equations and applications in flow of an incompressible viscous fluid. (English) Zbl 1356.76260
Fractional variational homotopy perturbation iteration method and its application to a fractional diffusion equation. (English) Zbl 1273.65157
The general analytical and numerical solution for the modified KdV equation with convergence analysis. (English) Zbl 1269.65101
Reviewer: H. P. Dikshit (Bhopal)
A modified homotopy perturbation method for solving the nonlinear mixed Volterra-Fredholm integral equation. (English) Zbl 1255.65239
Approximate analytic solutions of the modified Kawahara equation with homotopy analysis method. (English) Zbl 1387.35016
On exact solutions to partial differential equations by the modified homotopy perturbation method. (English) Zbl 1355.65091
New iterative methods for solving nonlinear equation by using homotopy perturbation method. (English) Zbl 1311.65050
MSC:
65H05
Modified homotopy perturbation method for solving two-dimensional fuzzy Fredholm integral equation. (English) Zbl 1272.65105
Numerical solutions of boundary detection problems using modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm. (English) Zbl 1259.65172
MSC:
65N35
Newton-MHSS methods for solving systems of nonlinear equations with complex symmetric Jacobian matrices. (English) Zbl 1263.65047
Reviewer: T. C. Mohan (Dehra Dun)
A new fractional analytical approach via a modified Riemann-Liouville derivative. (English) Zbl 1251.65101
A coupling method of homotopy perturbation and Laplace transformation for fractional models. (English) Zbl 1245.65143
Solving Schrödinger equation by using modified variational iteration and homotopy analysis methods. (English) Zbl 1304.65232
Homotopy analysis and homotopy Padé methods for the modified Burgers-Korteweg-de Vries and the Newell-Whitehead equations. (English) Zbl 1304.35614
MSC:
35Q53
Numerical solution of nonlinear Volterra-Fredholm integro-differential equations using homotopy analysis method. (English) Zbl 1291.65374
MSC:
65R20
Periodic solutions for certain non-smooth oscillators by iterated homotopy perturbation method combined with modified Lindstedt-Poincaré technique. (English) Zbl 1271.70048
An algorithm for solving multi-term diffusion-wave equations of fractional order. (English) Zbl 1228.65201
Approximate solutions of eighth-order BVPs by homotopy analysis method and its modification. (English) Zbl 1230.65085
Nonlinear free vibration of simply supported beams considering the effects of shear deformation and rotary inertia. A homotopy perturbation approach. (English) Zbl 1387.74125
Exact and numerical solutions for nonlinear higher order modified KdV equations by using variational iteration method. (English) Zbl 1218.35212
Analytic approximation for the soliton solution of the discrete modified KdV equation. (Chinese. English summary) Zbl 1224.35382
Some high order iterative methods for nonlinear equations based on the modified homotopy perturbation methods. (English) Zbl 1230.65060
Reviewer: Rembert Reemtsen (Cottbus)
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